Tako, zelo sem izgledati nekaj, kaj smo zelo izgledali v prejnega lekova. Tako, smo izgledali o superkarantih multipletih. In spesivno, smo zelo skupnili na različenju n-1 filteoriji v 4D. Supercurrant multiplet je multiplet, kaj je vse supercurrant, kaj je vse supercharge in energiomomentom tansor v teori, in ki smo videli, ta multiplet vse je vse vse operatori. Vse vse je vse vse multiplet, kaj je vse teori poses, kaj je začel je na nekaj naprej S-tiblet. Kaj je, kaj je, kaj je zelo energijomentom tenser in superkarant. Kaj je začel je varajitva občasov. Vom, kaj je vse strin karant, ki je vzouto v tem, da je vse vse vse vse vse. then there is also a domain wall current, which is given in terms of one form y, which is complex and also closed. And finally there is an arc current, which is not conserved, generikali, konečnji, več značen, konečno, nekonečnji, ko je ali bolj filetir, in po veselji, nete nekonečnji za zdaj, po takosanju R-sefetri.  In as we saw this string current and the brain current, the domain wall current will like appear, so the corresponding charges will appear in the superalgebra and we wrote down the resulting superalgebra where we have the usual momentum appearing and then this string charge which is obtained by integrating the string current and similarly in the q alpha, q beta, anti-commutator you find the appearance of the domain wall charge. So this is we also looked at what kind of improvements the supercurrent can be subjected to and so we found out that like also the improvements can be treated in a super symmetric fashion and we have started describing possible particular instances in which this supercurrent can be improved to a shorter multiplet. Ok, so there are so for instance so we discussed two different scenarios so the first scenario happens when this form f instead of being just close it is also exact and then that means that there is no that the string current can be can be improved away and one is left with a smaller multiplet which is called the Ferrara-Zumino supercurrent multiplet and this Ferrara-Zumino supercurrent multiplet contains less than 16 bosonic and 16 fermionic degrees of freedom indeed there are only 12 plus 12 degrees of freedom so what happens is that there is no so there is no string current so there is no f and also like there is a relation between a and and the trace of the of the energy momentum tensor so so in particular we saw that there are cases there are examples of field theories which do not have a Ferrara-Zumino supercurrent namely if you consider a Vesumino model with target space is compact this cannot have a Ferrara-Zumino supercurrent because the two form f is going to be proportional to the kater form and it's going to be therefore close but not exact and so in general whenever the kater form of some Vesumino model is close but not exact then you have you cannot improve the s-multiplet to the Ferrara-Zumino multiplet okay there is also another example of a field theory which does not allow for a Ferrara-Zumino supercurrent and that is obtained by just taking the case of a u1 so it's got another example so if you consider some u1 gauge theory with an f i term so then your Lagrangian is going to include the usual field strength part plus complex conjugate and there is also the f i term okay this is in usual super field terminology then one can show that for this theory one can write down one can write down the supercurrent multiplet and in particular the the two form f which appears in the string current is proportional to the f i parameter times the field strength of the gauge field ends because the gauge field so if it were possible to improve away the this this f mu nu then it would mean that it has to be it has to be exact but it's not because a by itself is not the gauge invariant so this is another example of a theory which cannot have a supercurrent which is improbable to the fz fz kind and indeed in one of the exercises you could check that you could couple this you could consider sqd so the u1 gauge field couple to matter and then you can check that this theory does indeed have string configurations which carry this string charge okay so the other case that we took into consideration is the case where instead of being able to improve away the string current you are able to improve away the domain wall current and in particular we found that there is another multiplet which exists whenever the theory has conserved r symmetry so when this current which appears in the multiplet is conserved then again the multiplet shortens and becomes includes only 12 pozonic degrees of freedom and 12 fermionic degrees of freedom so this theories clearly you cannot have such a multiplet if your theory does not have conserved r symmetry so for instance one example could be if I take some vasuminum model with some generical cubic or even non cubic superpotential like this will not have an r symmetry therefore it will not have an r multiplet another example which is maybe more interesting is that of purium mills so if you take supersymmetricium mills like the r symmetry would be anomalous and then this theory would not have an r multiplet so in both these cases then when a theory of an fc multiplet then there is no string charge in the algebra and vice versa in the case that the theory has an r multiplet then there would be no domain wall charge in the supersymmetric algebra we can also think about theories which have both an fc multiplet and an r multiplet so certainly there are such theories so in these theories you would not have either domain wall charges or string charges and then it may be that the improvement that you need to make the s multiplets the fc multiplet and the improvement that you need to make the s multiplet the r multiplet actually do coincide and then it is possible to get rid of short and even further the multiplet so that's the third possibility so this happens when you can get rid of the both this field kai, super field kai alpha and y alpha in the definition of the s multiplet and this happens for theories which are super conformal so indeed if you look at the conditions that needed to be satisfied in order to have an fc multiplet and you combine them with those that need to be satisfied in order to have an r multiplet then you will discover that the clearly the r symmetry has to be conserved but also so to have an fc multiplet this scalar field a had to be proportional to the trace of the energy momentum tensor but to have a nr multiplet this field a has to be zero so that means that the trace of the energy momentum tensor is equal to a and is also equal to zero then you don't have you don't have a string current nor you have a domain wall current so fd nu is equal to zero y mu is equal to zero and there are also conditions on the on the fermions namely what you find is that psi alpha is equal to zero and sigma mu s bar is equal to zero and similarly for psi bar and s so these are indeed the conditions that need to be satisfied for like the super current to actually be as If I do a short rating of I am in masses like what we had yesterday from birthday in which month should I keep up? Well that depends on which multiplet you want so suppose that just for short breaking no so if you do a soft breaking then like the trace of the energy momentum tensor won't be zero and this guys will not and this guy in particular will not stay zero so you will have to then you will have to fall into one of the larger multiplets ok so this is for super conformal theories Is it possible to get rid of just the domain wall charge for example while keeping the J mu for example? What is J mu? J mu is the you and I are current Yeah so that's the R multiplet No sorry I am keeping that not to be non conserved but just eliminate say domain wall charge I mean there are many ingredients so you can there seems to be many options of which one to eliminate Right so as discussed so there is there are two possible way to do it consistently with supersymmetry one reduces to the ferrazumino supercurrent and the other one reduces to the to the R multiplet Ok but those are the only possibilities? Yeah those are the only two shortings I see Well and the SCFT shorting which includes both so if you introduce superpotential mass then that will break R symmetry Right so for instance if you let's take this let's take this theory so this theory is the one gauge theory with f i term like ok it has an R symmetry so indeed you can write for this particular theory you can write down some R multiplet indeed I think the R multiplet is gonna be just given by the following expression ok but then suppose you couple this theory to matter and you take some generic superpotential so that the R symmetry is broken then this theory will not have an R multiplet anymore but it will only have an S multiplet so indeed the most generic the most generic theory will have an S multiplet and then there are more special theories that allow for Ferrara-Zumino super multiplets or for R multiplets and then in the intersection there are some more even special theories that are conformal What happens if this conservation condition is broken by memory? that's the same so for instance you could consider the case of n equal 1 superium means pure superium means so classically it has an R symmetry but it's broken by the anomaly so that means that this theory does not have an R multiplet I think what we use is the super-satellar distance no but this is ok so let me comment on this in a second ok, so these are the three possible possible shortnakes What happens if the F5 parameter is dynamic power in the support of the xamod here or some other field for example it's a conclusion state the same I'm asking partly because people discussed for example dynamic and context of detail integration I'm cutting super graphically and we seem to say that so if you have a theory which generates between the infrared you want gauge field with F5 parameters that means that this theory cannot have cannot have an fc multiplet so this cannot happen if you start, ok so let me just make this comment now because it already rose twice so I should I should address it so one application of this of these ideas is that to put constraints on the RG flows of some theory that you are interested in or in general so let me talk about constraints on RG flows so the idea is that the supercurrent multiplet of a theory is some kind of short multiplet or alternatively you can say that the supercurrent is embedded in a super field which needs to satisfy some constraints so then this means that the structure of the supercurrent multiplet is preserved along the RG flow so it does so if you start from the nearly UV with the theory which has an fc multiplet then this theory will have an fc multiplet all along the RG flow and the same is true for a theory which has an R multiplet so when you get UV so the structure is conserved along the RG flow so there is a comment here that so first of all like if you start in the actual UV then suppose you have some asymptotically free theory then there you will have a free theory which is also conformal and then you might think well this does not really follow these rules but actually what you have to think about is like the theory at any high energy very high energy but not infinite and then like the statement applies and the other caveat is what happens in the extreme IR so in the extreme IR like your theory could like be some SCFT so in that case what happens is that some of the operators in the supercurrent might become redundant so they just a couple they don't have correlators at separated points but in between just up to when you get to the deep IR like your theory will have the structure of the multiplet and it will stay the same so in particular that means that you can determine what the structure of the multiplet is by just doing some computation in the UV so now this computation does not just have to be a classical computation it might include quantum effects of non-posterbative effects but those must be a possible computation in the UV so for instance for the case of superium meals like classically it would have an arm multiplet because it has conserved dark current but if you include quantum effects you discover that there is no are symmetry current and then the theory does not have an arm multiplet it however does have an FC multiplet and indeed in the the theory has like so if you consider superium meals it will have an distinct vector and there will be supersymmetric domain walls that interpolate between the various vector so that means that the theory does allow for a domain wall charge and then but not for a string charge because it has no a because it does not have an arm multiplet ok so between case 1 and case 2 is there a difference between how the theories can be coupled to super graphically so that is the other so that is the first comment but let me just say some more things about this so that this can be used to constrain the behavior of theories like quite a lot for instance if you start with a theory which has a Ferrara-Zumino supercurrent then you know that it will not develop FI terms for u1 so in the in the AR there could be some emergent u1 some emergent u1 and then you could say oh maybe this emergent u1 will have FI terms but that cannot happen because then the theory will lose its and the same thing can be said for like possible suppose that the AR description of this theory is given by some Vesumino model then you could ask about like it's a target space and well what we just said if the theory is an FZ multiplet then like the target space of this Vesumino model that you have in the AR cannot have cannot have a compact cannot be compact because if it were compact then the the color form would not be exact and that cannot happen if the theory is an FZ multiplet so there are all sorts of statements that you can make by just using the structure of the multiplet on the behavior of the theory along the arg flow and then the other comment that we want to make is that indeed eventually we are interested in some n-1 supersymmetric theory to supergravity and then the structure of the multiplet actually dictates which supergravity you have to couple to so in particular there is the most common supergravity for n-1 field theories this is called old minimal supergravity so in old minimal supergravity if you count the bosonic degrees of freedom there are 12 of them and indeed this couples to theories which have an FZ multiplet so this is appropriate for theories with an FZ multiplet and in particular you cannot couple to old minimal supergravity any vasumino model which has a compact target space also you cannot couple to old minimal supergravity u1 gauge theory with an FITER then there is another version of supergravity which is called new minimal supergravity I guess it's new because it was newer when it was invented and the so this this version of supergravity which we will describe more we will describe a little bit of them in more detail this couples to the r multiplet so you can use it whenever you have a theory which has a conserved r symmetry now both the old minimal supergravity and new minimal supergravity have 12 bosonic and 12 fermionic degrees of freedom so they can couple to these shorter multiplets and then the question arises of what happens for a theory which doesn't have either a fc multiplet nor an r multiplet as for instance u1 gauge theory with f i terms and generic superpotential so then in that case in order to couple to supergravity you have to use a new minimal supergravity which has more degrees of freedom in it so this is called 1616 supergravity and this couples to the s multiplet so the price you pay is that you have a longer multiplet and therefore your supergravity contains more fields and you can also go in the other direction and if you have an scft then you can couple it to conformal supergravity which has less fields now one important point is that if you look at old minimal supergravity and new minimal supergravity then it is true that they are different but the difference only arises in auxiliary fields so if you integrate out the auxiliary fields they are actually equivalent so on shell they are equivalent these two supergravity are equivalent on shell but because we are interested in like we will be interested in like backgrounds so in considering the fields of supergravity as like fixed backgrounds then we will work off shell and therefore the two formalism of the old minimal supergravity and new minimal supergravity are actually not equivalent okay so are there any questions there is some similar story in 4 dimensional n equals 2 okay so in 4 and then you have a super current current field of mass spread and I think it has anomali mass spread and for super conformal theory the anomali mass spread becomes without yes so also for n equals so you could repeat this story for like theories with different amount of supersymmetries and then it would be it would be similar well clear the details would change but so you can also have super current multiplets for n equal 2 field theories the most common one is called the sonius multiplet and it contains like the conserved SU2R symmetry in it but then like if the theory becomes super conformal then the multiplets shortens and indeed like you lose the trace of the enjoyment on 10 so you lose you also acquire another conserved d1 because there is also then the r symmetry becomes SU2R then SU1R and so on so but in 16-16 super we are not just adding auxiliary field we are adding so in the 16 so one way you can think about 16-16 supergravity is that you take some you basically you have one of you take new minimal supergravity and then like you add an extra chiral field that you use as compensator so indeed yes there are there is more propagating stuff 16-16 super is not irreducible irreducible 16-16 super is not irreducible 16-16 super is not irreducible irreducible or reducible it couples to this multiplet that as we discussed is generically not not reducible supergravity looks like reducible again this might be something which has to do with like imposing the equation of motion I am not sure and also there is a constraint in column super multiply in which you can replace one of real field in terms of tivine and fermions up to a fork of multiple mm-hmm ok, maybe I can ask we can talk about that later mm-hmm I mean, are you talking about ok, let's talk about that later ok, so so are there any more questions about this different supercurrent multiplets? sorry, I don't understand there is versions of the super current multiplets dictate how we can couple the theory to supergravity, why is that? just because like in the structure of the super multiple you have to choose a different supergravity to couple to so for instance at the linear level like you would have some coupling of the so if you do linearized supergravity the light so then like you added some theory in flat space then you want to couple it to linearized supergravity so that like at first order you would add a coupling of the supercurrent multiplet s mu to some superfield h mu which contains the linearized metric and then depending on which constraints s mu satisfies that changes the nature of the metric superfield so you see the difference at linearized order then I mean if you want to do the full non linear theory you have to work further just to make sure I understand your statement that the structure is preserved along the rg flow if there exists a shortening condition on the s multiple at any point on the rg flow then it must exist all along the flow is that the equivalent statement? yeah so it as I said with the caveats of what might happen in the extreme where we are with some operator might couple could you repeat the argument for why why that is? it's the usual argument that it's in a short multiplet so it cannot the nature of the multiplet will not change sometimes you can make it more than one short multiplet they can combine yeah so so you want to combine them in a longer multiplet but I think then the other multiplet should already be there so I think so if there is already another multiplet which it can combine then I think you are not in this in this case okay so so now I can jump to something different so what we want to put to use is let me erase something first so now we want to put to use this structure that we have uncovered to like to explain how to address the questions that we talked about in last lectures that is like given some supersymmetric field theory in flat space we would like to understand on which manifolds it can be placed preserving some supersymmetry and what kind of properties the resulting theory will have so the references for this part of the lectures so there is this paper 11 of 5 of 689 by cyber than myself and there is also a nice review by Dumitrescu 160802957 so let me start by talking about something somewhat trivial but which I think gives an idea of what is that we want to do in supersymmetric theory so we'll just give an example which is without supersymmetry so let's consider some theory in flat space now we can you can take your fabric theory maybe just some scalar field and couple it to gravity so once you couple it to gravity the metric becomes dynamical and your theory will be different variant so now the metric can be whatever you wish so in particular you can you can imagine your theory being on some manifold of your choosing with some particular metric and you can couple gravity by sending the Planck mass to infinity so now we can fix the metric and on some manifold M and the couple the fluctuations of the metric by sending the Planck mass to infinity so what I have done is that I have basically took my theory in flat space and I have coupled it to this like on this manifold with some particular metric so now I can ask what happened to the different variants of the theory with gravity while clearly fixing the metric breaks the different variants of the original theory but there are some different morphism that stay in particular all the different morphism which do not change the metric that you have chosen as background will be actual symmetries of the resulting theory so and what are these so if you look for a different morphism for which the change in the metric is zero that means that the infinitesimal parameter for the different morphism which is epsilon mu has to satisfy the killing vector equation these are just isometries of your Romanian manifold so this is a somewhat trivial example you don't need to go through this series of steps in order to figure out that if you have a theory and you put it on some manifold with some isometry then like it will have a symmetry corresponding to that isometry but so it's a way which explains what we want to do in the more complicated supersymmetric setting any questions so one topic which will play a very important role in the following is that of coupling some conserved currents in your theory to background fields so for instance in the example above once you fix the metric that the metric becomes a background field and if you look at the deformation of the theory from flat space then the the formation of the metric couples to the energy momentum tensor which is one of the conserved currents in your theory so this is recur during the next few lectures so I'd like to make some comments about this what happens with background metric under normalization under what normalization how do you plot so metric is a kind of couple collection of couples so I'm fixing the metric to be some background you turn on the group effects the logic might get normal upgrade is a couple so first of all stress on the tensor but I found the terms so it is true that in in general there are lots of you can always change so the coupling to the metric is not universal you can always add terms which are suppressed by 1 over r where r is some scale in the manifold so in principle this could be generated during the RG flow so the metric itself maybe not even observable the metric is the curvature the metric is not unobservable we take it to be a background field which we fix with couples to in your theory so if I change the metric so if I take my theory coupled to background metric and other background fields then I can compute its partition function on some manifold then taking functional derivatives of the result with respect to the background metric this will give me information about correlators of virus operator in the theory so what's the difference between metric and let's say the gauge coupling in Yang-Mills theory so you could say Yang-Mills coupling is also a kind of background field but we know it's not a parameter you cannot compute the function the function of the gauge coupling it becomes a scale if your theory is not conformed so how is the metric different for example could it be that as we go down in the RG flow the background metric has to become flat or inflective so it eventually becomes just a flat spot conversely there is some concentration of curvature and becomes similar this is the choice of scheme what they are doing they fix the curvature and they cannot change but then other quantities the way they normalize will be affected and you can really think of it as a choice of scheme of the way you calculate your loops it's like the opposite of true to pole mass scheme it's somehow the opposite of that when you say that it's a curvature that's presumed as constant curvature metric constant so that's a very special class of metrics one feature of you I think of what general for many fold has many features here it's one curvature and there it's another curvature but usually they would do sphere so they are very simple things that's a good discussion so it's a general discussion so let's go ask the general question ok, so let me continue but I'll go back to this to this question ok so now where was I left so let's I wanted to make some comments about the two background fields so as an example again without supersymmetry we can consider some theory with a u1 with some u1 conserved sorry with some u1 symmetry then this will mean that your theory will have some conserved current jmu and I can imagine conserved current to a background to a gauge field and then to make this gauge field non-binanical so ok, so then the structure of your Lagrangian will be left the usual the Lagrangian you started with and then you add the coupling of the background gauge field the mu to your conserved current but in general this will not be enough and so up to here this is invariant under gauge transformation of a mu because jmu is conserved but this is true at first order like at higher order you might have to add terms of other a squared which are usually called single terms so again these terms are here to preserve gauge invariance if you do this for a theory where say you have some theory of scalars with u1 symmetry then like these are the usual single terms in scalar qd another example is that that we talked a little bit about is that of the energy momentum tensor so let's take some theory let's take some conserved energy momentum tensor which is symmetric then we can couple this to fluctuations of the metric so if you take jmu mu to be flat space plus linearized correction then again the structure of your theory would be the theory you start with plus the coupling of linearized metric to the energy momentum tensor but again in order to preserve diff invariance at higher order you might in general have to add more terms and here we can also discuss what happens to this under improvement so as we said in the last lecture team mu nu is even when we consider just the symmetric and still be changed by improvement transformations so for instance it can be shifted by something of this form this is not the most general improvement but it is some improvement where u is some other scalar operator in the theory and then what this does to this variation is that it will add it changes t here but you can reinterpret the change in t by pulling the derivatives on h and then this is just working as with the old t but adding a coupling of the linearized richer curvature as a function of h to this scalar operator u makes the general point that by improvements I can shift the coupling to the metric by terms which scale down like one over the radius of the manifold to some power so the richer curvature of the manifold scales like one over r squared and indeed so the coupling of a theory to some space is not universal but there are all sorts of one over r terms that can be that can be changed so for instance they can be changed by improvements of the conserve currents so sorry in the s-max rate in the s-max set you have a real scalar a can you consider a similar I think you can consider similar linearized coupling in principle ok is the physical meaning clear in that crystal? ok so to be fair I don't remember what a exactly couples to in 16-16 superglality but in principle there is so a will couple to some operator in your theory sorry a is your operator in your theory it will couple to some field in the supergravity which one? but other than that if there be any Cisco meaning other than ok there is a coupling so there is some coupling to some field so that coupling if you do background 16-16 supergravity that coupling would be required to preserve supersymmetry so if it weren't there you wouldn't have supersymmetric field theory for one field like see me see me then the physical meanings are clear they are brain current for a 16-16 supergravity is a little bit more complicated anyway because there are more propagating degrees of freedom in particular both in the fc multiplet and the r multiplet a is determined in terms of the it's either 0 or it's determined by the trace of t ok so the other wow so the other example that I wanted to make before getting to the more complicated supergravity case is that of the so let's now add supersymmetry and again consider some supersymmetric field theory which has a u1 flavor symmetry some u1 global symmetry then that means that this theory will have a conserved current let's call it jmu corresponding to this symmetry but because the theory supersymmetric the current will be part of a multiplet exactly in the same way as the energy momentum tensor was part of a multiplet also just global symmetry will be part of a multiplet maybe this is actually an example I should have given before so this multiplet is a linear multiplet and it contains other operators beside the conserved the conserved current so it can be embedded in a super field j which satisfies the following constraints so it's a real super field which satisfies this constraint so we can write j in components so there is a bottom component which I will call j again which is a scalar real scalar then there are fermions little j and little j bar and finally there is in the top in the component with that and that bar there is the conserved the conserved current plus other stuff so again there are 4 pozonic degrees of freedom and 4 fermionic degrees of freedom and then this fields can be coupled to gauge multiplet preserving supersymmetry so again so the gauge multiplet contains a u1 gauge field a mu then there is an auxiliary field d which is a real scalar and then there are gauginos lambda alpha and lambda bar a dot alpha dot and well also these you can in a super field and you can write down supersymmetric interaction between the fields in the gauge multiplet and the fields in the linear multiplet so your Lagrangian will change by something which will contain the bozonic term we discussed above the coupling of the conserved current to the gauge field and we also contain the coupling of the auxiliary field d to the scalar at the bottom of the multiplet and finally it will contain like fermions and possibly there will be seagul terms so now we can we can think of making this gauge multiplet non dynamical so we can set fermions in the gauge multiplet to zero and give some value to the a mu and d but these in general will break supersymmetry so when is supersymmetry not broken so supersymmetry is not broken when the supersymmetry variation of my chosen background is zero and what that means is that delta of a mu must be zero but that's fine because if you look at the supersymmetry transformations the variation of a mu is always proportional to the gauge genus so because we set them to zero this will not give any constraint the same thing for delta of the auxiliary field it's also going to be zero because it's proportional to derivatives of the gauge genus so we only have to check that the variation of the gauge genus themselves is zero and that will give rise to some interesting constraint so for instance if we look at the variation of lambda then we get that so there are two terms so you get that the variation of the gauge is zero provided that these holds at least for some of the supersymmetry variation parameters so that means that if you choose a background which means that you choose some f mu nu and some d such that this combination is zero at least for some spin or zeta then that spin or zeta will generate supersymmetry transformation resulting theory and ok there is a similar equation for the variation of lambda bar ok is there any questions so far? If we don't go to the original gauge we have a little bit more more auxiliary fields can this help us a little bit or to have a bigger freedom for the spin or zeta that we have to pick no I don't think going I mean this you always want to write gauge invariant interactions so whatever thing brings you out of the sumino gauge I think could be irrelevant So when you say and you get another equation from lambda out of that bar Is that essentially going to be the complex time together where you get any new actual constraints? Well ok so if you work in Koski space then they are related by complex conjugation Ok so you don't get essentially any new constraints on d in the gauge field from the closing that the other gauge unit has finished the equation Who said that the background should be real? Again So if you work in Lorentzian spacetime with usual reality conditions then the background will be real But the background is just some cut way If you want some unitary field theory Ok but indeed like if when we go to Euclidean spacetime there is no reason where the background should be real So then and besides in Euclidean spacetime when you take the complex conjugate of zeta you don't get zeta bar So then like the background can be complex and indeed we will see it's important So there are cases where it's useful to think about complexified background Talking about Euclidean Koski makes much sense because it could be complex If it's just the perturbation of flat space as an engine I could have complex coefficients that's most important What I'm saying is that in relation functions of the operators to which my background couples I should allow all possible couplings to be able to really differentiate in respect to them But in a unitary field theory in Lorentzian flat space like the various operators can couple to these currents will satisfy reality conditions Unitary is a bonus for special slides If you want to go beyond that then you can consider also complexified deformations a good So then you should write another equation because they are truly independent I agree especially we will write both equations So now we can go to the supergravity case There it is That's much better So next let's consider the case with supergravity So what we want to do is to couple some field theory with some supercurrent multiplet to supergravity So we take some n equal 1 field theory or some suzy field theory in general and we couple it to the appropriate supergravity So at linearized level this coupling can be described in quite some detail and it will depend on the structure of the supercurrent multiplet that the theory has So there will be the original theory you started with and then there will be couplings of the supergravity fields to the operators that appear in the current multiplet So for instance you will have the coupling of the linearized metric to the energy momentum tensor but then there will be various bosonic fields in the supergravity and this will couple to various objects in the supercurrent multiplet which we will call ji So again in specific cases this could be the string current or the domain wall current or the arc current and so on Then I will have also couplings of the fermions So there will be the gravitino which couples to the supercurrent the similar coupling for the other gravitino and then there will also be other fermionic fields in your supergravity so those will couple to some fermionic operators in the current multiplet besides s And finally there can be Siegel terms which are there and you can discover supergravity Lagrangian Ok So some comments So apart from the Siegel terms which in order to work this out you actually need to work out the entire supergravity Lagrangian All these terms here are completely dictated just by the currents in your multiplet And in particular they can be described in theories which don't have Lagrangian So if you have some theory it has some supersymmetry it will have some supercurrent multiplet in the supercurrent multiplet these operators and they will couple in this way to the various fields in the supergravity So now So this theory it's like a supergravity theory so it has it is invariant under the transformations And these are parameterized by some spears zeta alpha which depend on the position you are in your manifold and its friend zeta bar alpha dot of x So now we want to proceed exactly in the same way as in the trivial example we discussed in the beginning So we will set our background to whatever background of our choice we will also set the in our background we will set the fermions to zero so we will set the gravitinos to zero And then so we choose a background so for the metric we choose bosonic fields in the supergravity background we will set the fermions in the supergravity to zero And then we send the Planck mass to infinity to the couple of the fluctuations of the supergravity fields So what we are left with is some theory on some manifold with some metric and there is going to be also various couplings of these fields that appear In general, this procedure breaks all the local supersymmetry except as we discussed in the previous cases if there are some of the local supersymmetries that keep the background invariant then these local supersymmetries will remain in the theory once with the frozen supergravity fields So in order to figure out which supersymmetries remain, we need to figure out what are the conditions for this background to preserve some of the local supersymmetries But luckily enough this is not a very daunting task what we have to check is the variations of all the various fields to be zero but the variation of the bosonic fields in the supergravity are always proportional to the fermionic fields in the supergravity so those are not going to give us any equation to solve so we only have to check that the variation of the fermions is zero and in particular for the case of the minimal supergravity that we will be concerned with we just have to check that the variation of the gravitino is zero and its friend So now this equation has a general structure so that we will see born out in examples so it starts with the covariant derivative of the spinor parameter z and that has to be equal to some matrix m which depends on the metric and the values other background supergravity fields which acts on z and then there can also be another piece let's call it m tilde acting on zeta bar and there is a similar equation which comes out of the variation of the gravitino with bars so basically the task of finding which manifolds allow for some super symmetry just becomes the task of finding for which values of the metric and various auxiliary fields you can solve these equations or you can find some solutions to these equations So now I would like to make some comments on this equation and the general structure of them so one important comment is that this equation does not does not really depend very much on which theory you started with because what these objects depend on are just the background supergravity fields so there are no fields there are no matter fields inside these matrices because if you work off-shell in the supergravity variation of the gravitino you only have fields in the supergravity multiplet appear you don't have fields in the supergravity so you can solve this equation and then the results that you have will apply to many different theories not just one so now this is so in some sense finding super symmetric backgrounds is independent of the theory you start with except that this is not a completely correct statement because as we saw depending on the theory you start working and the supergravities are not equivalent of shell so depending on the theory you have if the theory is an fz-multiplet you will use all minimal supergravity and then you have one equation and you can find a certain set of backgrounds which are super symmetric if the theory is an r-multiplet then you will have to use new minimal supergravity and you will find a different set of equations and a different set of solutions ok any questions on this you could decide to just work with conformal supergravity if you wanted to couple conformal field theories but I think if you just compensated you can also couple non-conformal yeah I think that's equivalent to working with the non-conformal supergravities so but I think it's actually important to use the non-conformal supergravities in actual first of all you might be interested in like coupling non-conformal theories but if you are just interested in conformal theory many times I mean to do some computation you might have to introduce some regulator and then this regulator will like introduce dependence on the will like break I mean usually breaks conformal invariance so then in order to so then I think it's more appropriate to use the non-conformal couplings so for instance if you compute some partition function using some regulator, some regulator procedure like there will be this will depend on the on the background fields but the possible dependence on the background fields will be like will have to follow from like some there will be the respect gauging invariance so they will be dictated by some supergravity and the appropriate supergravity I think is the non-conformal one so it's true that you can choose the scheme carefully so that like you will be left only with couplings which preserve which are conformal but that might be difficult in any specific scheme so in the open physical questions are asked for conformal conformal theory and for such questions that it makes sense to try to without answer in terms of conformal supergravity somehow people don't not many people don't seem to many people seem to do this I don't understand why is there a good reason no but as I said I mean if you are just concerned with conformal field theories then you can use conformal supergravity up to this comment that like when you actually do some specific computation you might have to introduce a regulator and this may break conformality so Is there a more supersymmetric way of analyzing this? Yes there is so supersymmetric you mean can you work in superspace? Yes so there is a way which to encode all this in some superspace formalism and I think you can actually find some of it in this book by Kuzenko which is called a walk through superspace so I don't remember but it has some comments about about how to get supercurrents and how to yeah so I have five minutes so I don't know what can I do in five minutes let's see well ok so I can give you I guess an example so that this does not seem to dry so let's see what happens for a theory which has an fz-multiplet so then as we said this theory will couple to naturally to old minimal supergravity so then we can be a little bit more specific so first of all let me say that I'm going to write the couplings so you have some theory with an fz-multiplet so the fz-multiplet that we discussed in the lectures we had this super field y alpha but we said that in many cases y alpha can be written as d alpha of some chiral super field x so this is the case I'm going to consider so then the couplings that we've wrote in the previous blackboard are going to be the coupling of the linearized metric to the energy momentum tensor but then you have some coupling of some auxiliary vector field in the supergravity which we call b mu to the non conserved arcurrent which appears in the fz-multiplet so this is a supergravity field which maybe I can write the supergravity fields in a different color so that's a field in the supergravity which is an auxiliary field then we also have couplings of some other complex scalar auxiliary field in the supergravity to the bottom component of the multiplet x and in this particular case you can also write down what are the equations that come from setting the variations of the gravitino to zero so here they are maybe the best idea and there is another one for the right-handed you know so here they are so as you see the general structure that I advertised like is indeed borne out by this example this equation they only depend on the supergravity fields so now let me make some general comments which actually do continue to be true in other examples so if we look at some specific manifold and you solve these equations then you can indeed check that there is a scaling all these fields all the auxiliary fields in the supergravity multiplet m and b in bar in this case scale like 1 over r so that is just given by their dimensions so and again this same field m and b will also appear in the transformation laws of matter as we will see in the next lecture so what that means is that in the uv the theory that we've wrote approaches a susi theory in flat space if you want the original susi theory in flat space so in by using this formalism you are not gonna obtain the formations of the theory that you started with which are present even in flat space so there are the formations of the supersymmetry of some theory that might be there even in flat space and we are not gonna obtain those in this way and the other thing is that again as we discussed before if you improve the fz-multiplet then this will change the body's currents which couple to these fields and this will introduce the difference is gonna be in the couplings which scale as the radius of the manifold so that's exactly as in the bosonic case and the final comment that I wanted to make but which I've basically already discussed is that it might be important to consider cases in which like the auxiliary fields or whatever the fields in the background supergravity are not real especially when you consider the Euclidean case where like the spinors are not related by complex conjugation now however to be fair I never consider like the case of a complex metric so that's might be something that some of you can think about that's it


Welcome back to another anime season review this time for the summer 2021 season a very interesting season. I think I've been off more than I can chew I thought you know what? It's the start of a new season I'm gonna go all out and watch as many shows as humanly possible And I know there's some people out there that can do it, but I Since July I've been so busy With real stuff non YouTube related And some personal stuff that happened and it was just all over the place And it was just a hassle and it was a bitch to get through This season and to keep track of so many different shows. I usually I'm fine with that because I use Anilist you can find me there at annilist.com slash a week and geek them and you can chat with me there if You're interested and watch all the different stuff. I'm reading and watching and all that and I usually have a fun time with that and can keep track of all the shows, but for some stupid reason I Just couldn't keep up.  It was an interesting Season a bunch of good shows and some contenders for best anime of the year when I make my Yearly list some of these shows aren't gonna be on that list for sure So the first one on the list Monday is Continuing from the previous season to your eternity the final part of the first series because at the end We got the announcement that they are going to make a second season of sorts. So I am super excited about this I love the manga. It's my currently ongoing favorite manga that I'm reading and This anime adaptation just did a beautiful job of emulating the manga in my opinion I think it was a solid adaptation great acting the actual animation was beautiful all throughout Every episode was rich with detail the character designs were on point and overall just a really solid series and now you follow the character of fushi this Being that started out as a rock and took the form of a wolf and eventually a human being and he sort of starts meeting different people and learning the concepts of life and then living and friendship love sadness grief all these wonderful and saddening steps that we as human beings have to take and throughout the course of his journey he goes into different Settings or places and meeting new people and adventures ensue and you really get attached to these characters and As the story progresses there is some loss But you also gain some of the things as well. I don't want to ruin it, but I will be making a video on Talking about to your attorney in and of itself the property, you know the manga and all that stuff But overall just a fantastic series drugstore in another world the slow life of a cheat Pharmacist I remember doing a video where I talked about my recommendations for Or like the top summer shows to watch and I think I may have included drugstore Simply because I already knew going in what kind of show this is every season We get adaptations of light novels and manga that are like this where it's sort of a slower paced slice of life Adventure of a character probably an isekai Series of a character being in a new world doing something quirky and we follow their adventures that way it's fun, but You know you can watch it and you don't have to know a Whole lot about the story and you can just follow along and have a good time if you need to unwind and relax This is the type of show that you would watch In the case of the story we follow the main protagonist who arrives on this alternate or this Parallel world if you will and he has the ability I think it was to I can't remember the name of it, but it's to locate and It's the ability in all the freaking video games where you locate and assess the And evaluate the items and all that stuff and he's also pretty smart and in his previous life He was an office worker all that stuff and he arrived on this earth new earth and set up a Pharmacy and is helping the creatures and Demi-humans and Regular people in this town by creating things to facilitate their lives and essentially opening up the world Pharmacy in another Parallel earth, you know, these worlds are not like ours. They're more Medieval high fantasy of sorts the art in this series is simple the character designs are pretty and the story It's pretty light back. Like I said, you follow Episodic adventures of this scenario of these characters and that's about it And it doesn't demand much of the viewer and you can just relax and unwind plus of course Our wolf girl in this is absolutely adorable and worth the prize of admission just to see how cute she is in the different Episodes next up Tsukimichi moonlit fantasy now This is based off a light novel series and I believe of manga as well It follows another protagonist being isekai into another world However, his parents are from said world. So he's going back home I guess now the twist here is that this moon light deity of sorts helps him out Transports him to another world and gives him abilities now the goddess in this new world doesn't like the main protagonist finds him kind of repulsive and ugly and banishes him to the outskirts of the of the lands and Over there. He's no longer considered. I think Human I think that's how they say it or with a why instead of you human something like that So he's not a regular human in this world. He is sort of one of the creatures because there are dragons talking spiders elves Orcs and stuff like that. So he's able to communicate with those creatures perfectly however, the humans not so much and the main character befriend some Creatures that turn into human and you sort of get this harem type situation with the three of them and The main characters like super powerful or you can assess any Situation it's one of those shows. However, the fun is in the writing and the characters, I think One of the characters is Tomoe as she is a really Bad-ass mythical dragon and she takes on a human form when she does a pact with the main character now she's able to read minds and Sort of I like this concept that she's able to read the main character's mind as if it were a Movie of sorts or she can see it like you would be watching a movie or an anime and then she becomes obsessed with all the samurai movies and Asia cinema and all that stuff that the main character knows about so now she wants to be a samurai and That leads to a lot of comedic shenanigans involving the character, which I really enjoyed later on we meet another character who's this Black widow of sorts this giant man-eating spider and she falls in love with the main character forms a pact And she has a human form as well, but she's a little bit too Obsessed kind of like like the cultish Crazy ex-girlfriend type which leads into more comedic hijinks. You get the picture. It's a fun Series however and towards the end there's this tonal shift that happens where something really tragic Occurs in the plot of the series and the characters reactions. I think was a little bit weird because you had no Prior knowledge that we were gonna get this soul shift before this thing happens Everything's all peachy The characters are kind of overpowered. There's really no Worry, there's really no challenge to these characters You know that they're gonna be fine at the end of the day because they're so overpowered So when this happens, it doesn't really make sense because they didn't really Explain all the rules all too well and when it hits It just comes out of nowhere. I thought it was a really poor Character development choice for our main protagonist if you know what I'm alluding to Let me know what you thought of that in the comment section down below I would be open to watching more seasons because I do like the main the main trio I just Hopefully the story gets a little bit better Script-wise and plot-wise though. I do hear the light novels are pretty good. So I'm interested nonetheless Next up. I'm gonna upset some people.  I think this is easily one of the best shows of 2021 It is Miss Kobayashi's dragon maid s the second season key alter animation My god, they they return with a bang everything about this show is so wholesome and amazing I loved every single episode and and this is one of those shows that I could easily rewatch and I could just throw in the Background and enjoy like it's it's the first time I'm watching it We follow the adventure of the dragons living out in the human world and with more comedic slice of life elements But what's great about this is that the series the second season takes its time to develop more Toru and Kana and all these wonderful characters and actually explore their backstories and reveal their time before Traveling to the human world and meeting Miss Kobayashi the animation by Kyoto animation is stellar. I absolutely loved it Some of the things done here put every other studio to shame the fight scenes the choreography and set fight scenes The color palette character compositions the backgrounds the coloring on this show everything about it. It's just beautiful. I I loved it. I think it's honestly in my opinion one of the best shows of the year It had a little bit of everything for everybody and if you're worried a little bit about the fan service It is what it is don't pay too much attention to it Don't pay attention to the internet basically don't pay attention to people and just enjoy the show for what it is If you don't like it, that's valid and more power to you But I see time and time again some people like oh this looks like too fan service You know they're gonna watch it and they might be missing out on a fun time because they You know they're led astray by the weird sectors of the internet fandom If that makes sense next up is shaman king continuing that series I'm a little bit disappointed to be honest with you guys And by the time this started airing in the summer or continuing in the summer I should say it debuted it on North American Netflix so more people tune in to watch and I'm a little bit let down and it's probably because Shaman King, you know, it's an early odds manga a wonderful series a lot of People love shaman king However in some areas I do think it kind of does show its age a little bit especially with so many Fights and the whole tournament thing with the shaman fight and I get it. That's a plot of the show. Trust me I get it, but Most of the time I was just kind of not paying attention and skipping around because you kind of know What's gonna happen in battle shown and stuff especially when the core concept involves people fighting and having The anticipated tournament fight and now and the stuff that it's airing now and they're continuing those fights You know, they're trying to stop the bad guys more power levels being breached and broken and it's all a little bit formulaic and Especially nowadays after so many different shows. There's so many different Stories to dive in and enjoy that going back to shaman king I don't know.  It's good in some areas, but for the most part It's just serviceable. I thought it was gonna be a little bit more Cutting edge I think but that's just me.  Hey, that's perfectly valid I just thought it could have been a little bit better. Oh boy peach boy Riverside First of all, if you read the plot description makes no freaking sense I mean it does because it's referring to the peach boy, but Motado and all that stuff. That's great That's wonderful. God bless good for them. But once you start watching the show Nothing makes sense because I don't know why the studio decided to Go with an alternate timeline of events the chronology of the show is all mixed up I believe episode 2 is actually the first one and it's a whole mess of Episode orders. I think the actual finale is episode 6, but Episode 12 is something else in the timeline. It's all screwed up and here's the kicker The manga is straightforward. So nobody can give me a proper answer as to why they Mixed the timeline and they mixed the show like that. I have my guesses. I think they wanted to Bump some of the slower paced episodes up a notch So you saw them earlier and you end the season with a bang, but you're adapting the manga follow it through There's an order there. I don't know. So essentially this is a wartime story. It's based off the Momotaro stories from Japanese folklore But it's done with a twist You have the character of Sally our main protagonist is young girls. Well, Brad.  You get a lot of other characters. There are Demi humans and Anthropomorphic animals that for some reason a lot of people hate in this world so there's the war between orks and humans and You know the main girl forms his team and she's out there on this grand quest to prove that you can get along and Bring about peace and all these wonderful sentiments. I love that stuff I just really hated that they tried to do a gimmick by Messing up with the timeline of the episodes and the chronology. You didn't have to do that Obviously, I would have given it a higher score on my Annie list But I went I knocked it down a notch just because of that. The art in it is really good I like the character designs and there's some really heavy action-packed moments, especially when you when you learn the story of the young orkslayer kid and why he is the Peach boy The real truth behind his backstory. I thought that episode was awesome That's probably my favorite and the characters frow. She's awesome. She's super cute and carrot as well just a really fun series bogged down by silly Decisions from a anime production team. Oh boy. He would actually when they cry subsu So this is the follow-up to go from last year of he would actually when they cry Everybody thought it was gonna be a reboot. It turns out as a sequel you could Kind of go in blind you're gonna be totally lost But the premise is basic enough where you can go in blind of course I do recommend the games or either the manga or the blind novels or or the original anime of when they cry but you can go in blind and be enamored by what a hot mess go was because Started out pretty cool. And then it just went on and on on This and never-ending loop That's yeah, it's a callback obviously to the original series, but I Don't know man. There was just that with that series was all over the place So with so too we get a whole bunch of new episodes and what they decided to do is Show you what actually really happened So you're reliving go from an entirely new perspective and it's actually better than go But I don't think we needed this. I don't think we needed another series to Retreat the same steps of your previous show I mean The animation is great because it's studio passion. They're the ones that did interspecies reviewers I really like their color palette and character designs but Yeah, I don't think I don't think it was a wise choice because it really does but bog things down and kind of Makes the previous series kind of useless if you're watching if you watch that and you go into so-tsu I Don't think there's a point to go back to the other one and it sort of loses its relevancy and you just want to stick with So-tsu you're being explained all the different shenanigans that occurred in the previous series. Why do I go back? Obviously, that's more of the same. So if you didn't like that one, I really doubt you're gonna be enamored and want to watch so-tsu all the way through the end, but I I just like the characters and the overall premise and world of higurashi. So yeah, I Whatever I dug it. Next up is Another contender for anime of the year in my honest opinion. It is the aquatope on white sand This is done by progressive animation. I think This is a wonderful slice of live drama that I was surprised was lasting more than 12 episodes I thought it was gonna be 12, but there's more. So I'm excited to continue the story Essentially pretty basic plot where you have our main character who is this former idol. She's no longer Working in said profession and she moves back to I believe it was Okinawa and She happens to meet and Wander into this aquarium and falls in love with that setting and The aquarium is more than it seems. There's something Spiritual to it that is very beautiful to behold and I'll if you guys want me to review on the series I'll gladly talk about it at length She meets the acting director there another young girl fresh out of high school, I think or about to graduate and she's Running things With her grandfather who's the original I guess the original owner or director of the aquarium And they're trying to save it from being shut down because it's pretty old and a weary and torn down It still gets its customers, but it's not you know, it's an old building. It's an old staple of the city and They're trying to sell it or tear it down in favor of another you know more modern aquarium and It just sort of goes off from there and I love stories like that where you have obviously a character Leaving one profession to venture into something else and finding out her true calling in this new venture The animation is beautiful the character designs and the plot. I think it's well paced I think it's well written and the characters are done in a very realistic way That you're emotionally invested in this journey. So I highly recommend it Again, I will probably do a separate review once the show ends because I think it is worth talking about and geeking out over Next up is sunny boy from manhouse. Yes, manhouse with a completely new style This sort of reminded me of a manga or watching a manga come to life or watching Independent anime films none of that mass corporate stuff if you will it has a very visually Distinct style and it's sort of a mishmash of tropes and stuff that we've seen before but it somehow works It's confusing as hell, but it works. It's essentially a class that one fateful day the whole class and the building itself drifts into an alternate dimension and You don't know what's happening. There's no sky. Everything's dark and the characters are trying to Figure out what the hell's going on. How do you how are they gonna survive? Wow? Why are they still getting food? Some of the characters start exhibiting? Powers and abilities it sort of becomes into this Lord of the Flies type situation They soon discover that there are multiple alternate realities. I Believe it's called this world The place that they go to on this island and a bunch of stuff happens this is one of those shows where multiple viewings are required to really grasp and Thoroughly enjoy What they set out to do because you you get it, but if you're not paying attention, you're gonna miss out on a whole A whole lot of details when it comes to sunny boy The characters are fascinating and if you like psychology if you like Works of like Satoshi Khan and stuff like that. I think you're gonna be right at home with sunny boy I will be doing eventually another watch for this series. I'm gonna watch it again Because I know there are some details that I missed but overall It's solid and I think it's it has to be one of the best shows of the year just on a storytelling perspective and the Visual cues and flares that are happening man I I cannot recommend it enough next up the Edaton deities no piece now This is done by the same creator that did interspecies reviewers. I'm a Hada. So it's pretty interesting It's not as graphic as interspecies, but it's a lot of fun. I love the contrast and That you have a really Mature story Which some of the most gorgeous kid-friendly visuals that you can imagine and that's sort of the chaotic beauty of this series essentially, it's like Moe anime meets hyperviolent meets DBZ action It's all over the place But it makes sense when you're watching it just be aware that the world that these characters inhabit is Extremely dark. It's not for the faint of heart. There are some stuff that happens some from our words to s a's if you know what I'm talking about and It can get brutal, but that's because of the world that these characters inhabit and what they're trying to accomplish essentially the Edaton are Manifestations of people's will and they sort of create these godlike people they sort of Come into existence now. There are demons in this world and the Edaton deities they fight them Like a thousand years ago or something crazy like that They sealed off hundreds and thousands of them on this rock this giant portal and one of the characters She was a young kid at the time She was the only survivor of that the other Edatens sacrificed themselves to seal them inside so now she's guarding that rock and new Edatens are born but There are bad guys that are trying to break that seal and trying to take over the world this classic evil versus good and What's fun is that the artistic The artistic Force that is Studio Moppa, you know, they they've just been on On a roll hit after hit. They've got so many cool shows under their Belt that you know, you're getting top-notch quality material Now if you can stomach the violence because it is extremely graphic Limbs are torn bodies are punctured They don't feel anything because they're godlike in their abilities, but that all blends into their Fighting style and and all that stuff. So if you if you can stomach that stuff And all the problematic elements that I talked about earlier Especially when it comes to the bad guys and the stuff that they do sort of run this Kingdom sort of like a dictatorship and all that stuff They don't a lot of nasty stuff But if you can stomach all of that you're gonna have a blast this show is awesome and I love The characters are interesting. I love the art design Like I said and easily at least it visually this is one of the best-looking shows of the year just on that alone Next up another is a guy the dungeon of black company Now originally I was going to drop this show because I had too much on my hands But I watched the first episode just to see what all the fuss was about and I liked it It's not the best show in the world But for an easy guy it kind of breaks the rule It kind of breaks the mold a little bit and you have this character that is unlike other Protagonist he's selfish.  I mean he's bad But he's good If that makes sense he's one of those characters where you just love to hate him and he makes friends with other people and He wants to utilize them, but you want to believe that deep down he does care So what is this dungeon company about essentially have a character that? Wanted to do minimal efforts to gain maximum rewards in life and he gets Isakide into another world in our world he I believe he had multiple Business ventures and had like condominiums and stuff like that and he gets Isakide into an alternate earth where it's this medieval type Dark fantasy world, but it's run like a corporation and the dungeons are mined for the resources that they use on the cities And there are Demi humans and like creatures and stuff. So now he's back to zero back to square one so now he's going to warm his way into that corporate business world and retake what was lost and sort of Run this new world like a corporation and that leads into a lot of comedic elements and a lot of funny situations a lot of cool characters and the art even though it's I'm not a huge fan of the studio. I think it was Silverlink. I thought it was really well done for that type of show and Yeah, and I like it. It's funny. It's fun to have a character like that where he's not so basic and vanilla type MC. You have somebody a little bit more complex even if you do Hate him at first girlfriend girlfriend. I wasn't gonna watch this show I jumped in after six episodes because I just needed something Disposable to watch after some things that happened in real life I kind of needed that break of reality and watch something colorful dumb Stupid and just Serviceable or disposable I should say and that is girlfriend girlfriend. It's I'll be honest with you guys I don't like the story the characters are terrible The plot it's just it's it's bad I mean if you want to fry your neurons if you want to Kill off those brain cells watch the show the one saving grace for the show is the character of Saki Saki voiced by Ayane Sakura easily One of the best of vocal performances of the year. She killed it. She crushed that role it's such a it's such a crappy show that The one thing that I can positively highlight is her performance it's essentially this guy that falls in love with two girls and Yeah, he's gonna he's gonna be their boyfriend and Yeah, it goes downhill from there for like two episodes They really try to make an argument out of this Polyamorous Relationship where you're like it's dumb But it maybe I get it I'm not too sure but I kind of do get what you're kind of thinking of even though you're you're a terrible character But then they introduced a third girl And it just goes off the rails into the absurd Don't don't don't watch it. Don't be like me watch something else watch something of quality in your life like Dragon Quest Adventures of Die, which continues to be one of my favorite shows All around and I'm so excited that we finally have a freaking new visual Image not just the original poster which gives me hope because we don't really have a set limit for this adaptation It could be 60 episodes. It could be a hundred. I don't know they don't they haven't said anything They just mentioned that they're gonna continue adapting the whole story all the way through the end Hopefully it's a hundred episodes. I would watch a hundred episodes of Dragon Quest Adventures of Die I absolutely love it. It's sort of this epic sword and sandals adventure Series obviously, you know based off the manga base that is based on the video game franchise I'm new to the whole Dragon Quest world. I've mentioned this many times in the past on this channel But I love this. I love this series so much die is such a wholesome heroic character and the rest of the cast as well, they're all wonderful and When they achieve something you cheer them on and you feel the weight of their actions and then you are Constantly rooting for them and when the bad guys strike It's to be feared the fights are awesome. Everything about it is Really cool a nice throwback to 90 shows and early odds when you had Stuff like this where it's not the most complicated Plot in the world, but you still have fun with great characters music Animation and just overall an epic scope for a story like this next up is welcome to demon school He do my coon season two. I'd love season one back in Was it early 2020 or early 2019 either way? I think it was 2019 either way, it's a fun continuation of the story. It picks off where it left off and You get more promised adaptations for the manga you have the character of you do my releasing the his anger and manifesting into this suave looking Confident version of him relieving his stress and all that stuff that the demons do which I thought was hilarious because Every other character in the series they get all like super menacing and threatening because they're demons You know what basically becomes instead of a shy wholesome boy a confident Kid which I thought was pretty funny and then it goes off into school election plot lines and then they go into Vacation in this amusement park and some Hijinks ensue over there and actual fighting and all that I love the series because it doesn't take itself too seriously It knows how to have fun It has a wonderful cast of characters really colorful and vivid each with their own distinct Personality that you want to root for and cheer on and I I love this series so much I always have a great time watching you do my coon and I love that at the end We had the announcement for season three So I'm really looking forward to it. I cannot wait for that to continue the adventure next up is remake our life The premise I think this was one of the recommended shows from summer for that summer video that I did remake our life has probably one of the best premise This whole batch of shows that I'm talking about essentially have this character who It's trying to live out the best of his Days, but not everything worked out growing up and College and all that stuff and and work The company shuts down and he's down on his leg He doesn't know what to do next and he gets this mysterious golden opportunity where he mysteriously Travels back in time. I think 10 years in the past when he's first starting college and is able to remake his life and Set a new course for himself Obviously, there are a lot of time travel trophy elements that are present throughout, but it's overall a really fun Nice experience where you have this character who has a chance to remake everything has a chance to Chart a new path. I like the aspect that it's about video games when he starts college He is in this arts media school, I guess and the other characters that bond with him and You know, they work on all the projects together and all that stuff They all they all have common goals One of them is into the whole singing and possible idol The other characters a really good artist and this other one is a nice writer and they all work together to create their first It was an assignment, but they wanted to make money for a specific reason that I'm not going to spoil, but they wanted to make their own Visual novel game like a dating sim or an ultimate game or however you call them And I really enjoyed the whole process of that and you go through them making the game and the software and the art Dialogue the scripts and it's really nice to get a show like that where you sort of get up behind the scenes Kind of meta issue if you will even though they're talking about video games you could easily adapt it to Making anime and stuff like that So yeah, I I really enjoy Remake our life, and I think it's worthwhile to watch great art design. I love the characters on this Consistently great a lot of shows obviously they fall back on the budget and they cut corners And you see some lazy drawings here and there, but for the most part 95% of the show is solid and you really get some good drama pieces in here. You have a character that has problems dealing with other people and You know contributing and working with other people and when things go his way He realizes like man I messed up because I did this a bz or d thing and my friends weren't as lucky and This happened because of my consequences, so he gets depressed and down on his luck and It's the other characters that are telling him This is not your fault. We made these decisions together. We made these things happen You shouldn't feel down and out about this. You should be happy and then be moving forward and You know be a little bit more confident in yourself and and it's these themes that I hope can inspire people to sort of come out of that show and motivate people to work towards something and Be happy with the choices the career choices that you're making or the life choices that you're making But at least that's what I got out of remake our life next up is Eden's zero. I Believe I talked about it previously. I I'm not I love rave master. I Didn't quite dig fairy tale not my jam, but Eden zero for whatever reason. I think it's more of the space aspect and the exploration nature of it. I Really enjoy I am loving Eden zero so much. This has been a solid series and I can't wait To continue the story of the other manga Because yeah, I mean I believe JC staff did the animation for Eden zero correct me if I'm wrong on that Everything looks crisp clean and the characters even though they're kind of tropey. You can't help but cheer for them There are some genuine funny moments throughout it does have a lot of shown any Stuff to it, but that's part of the charm and you root for these characters and their quest and the character of Rebecca She's my favorite She's a beecuber in the future, which is essentially YouTube and she barely has any Subscribers which hey kind of reminds you of me in this channel and she wants to grow and be a better content creator and all that Stuff so I can relate to that and I'm rooting for Rebecca She's my favorite character in the show and I hope they're able to you Conquer everything. I don't know you probably more ahead in the story So you can let me know How good it is or if it goes south and it's not that great either way Eden zero really cool stuff wonderful animation Great to have team revolution back. That was a surprise the great yahee will not be defeated again like with A drugstore in another world. We have a lot of shows like this where it's heavily comedic With wonderful vocal performances and this is the case you have here yahee voiced by the awesome Naomi Ozora, she's one of my favorite say use and has done a lot of Awesome iconic characters that are really funny and kind of dumb at the same time and you can't help but love yahee What's the lieutenant if you will of the demon realm and this magical girl Destroyed the the demon realm and all these characters are now on earth disguised as humans yahee now She's lost all her powers.  I like that. There's barely any male characters in this I really enjoyed that. It's a breath of fresh air honestly for a comedy show that came I mean you see it on the images how it can be a little bit fan-servicing, but it doesn't play to you that That's just how the character dresses But everything about the show is really a wholesome. There are a lot of heartwarming moments in this where yahee has to let go of her ego and accept that she can't do things and learn to appreciate the small moments in life and Befriend actual humans. So yeah, I do enjoy it. The voice acting for this is phenomenal usually when it comes to Comedic anime all these say is just knock it out of the part in my opinion. Oh boy, Tokyo Revengers the second part of that first season I thought it was amazing. I mean, how could you not like the drama of gangsters and time travel and This crybaby Protagonist who you're rooting for because he wants to set things right a lot of people like to criticize Oh, this doesn't make sense because where are the adults? Where's the Police intervention so this time travel thing doesn't make sense. I know I Don't care. I think it's awesome Especially the time travel aspect it makes a lick of sense But I dig it anyways and that's usually the case with every single time travel show But with Tokyo Revengers Hakanichi and his quest to fix the Gang and to save the love of his life in the present time by going back and all that stuff the interpersonal drama with the various gang members and a lot of them a lot of them are really wholesome and nice individuals that took drastic measures to Move on in life and it leads into conflict with other characters gang fights There's the whole bloody Halloween event that happens in the later portion of the show Which was really dramatic and really tense and every episode you're on the edge of your seat so yeah, I cannot recommend the show enough and I They haven't mentioned this as of this video, but I I hope it does get a second season I mean, how could it not the manga is something extremely well and the show's a hit So yeah, I'm very much looking forward to season two or I may just go ahead and start reading the manga To continue the storyline, but that the way it ends just broke my heart And I knew it was gonna be a massive cliffhanger, but I was ready for it. I'm nonetheless Solid series with great characters animation kind of wonky sometimes But then again now don't come at me guys the manga doesn't the manga It's not the best thing in the world when it comes to the drawings I mean the anime emulated the manga style pretty frickin well but it's more about the characters and the story and the Hygienx that ensue with time traveling gangs in Tokyo. That's That's what we're in for right Digimon adventure 2020 now this caused a whole lot of Noise online with a lot of Digimon purists upset about this show And they criticized everything about it from the character works to the animation to the scripts to the Pacing of the show and how bad it was and how it's this train wreck I gotta be honest with you guys a good 90% of the show. I really loved I didn't mind at all I love that it was different from what we've seen before. I love that they took risk and Just rebooted the show in a different way with a different Different enemies different evolutions and for the first time you got to see that in a Digimon For the first generation of kids might I add The first time that you're seeing everybody go to mega level. I know we saw that in the Digimon tri movies, but again, those are movies for this show I really enjoyed that you had alternate evolutions for the characters for the Digimon, I should say and I liked that The villain is different from the original the motivations are different and there are a lot of spine chilling Goosebumps inducing moments that I really loved when I saw some of my favorite characters come back when I saw Digimon from other Seasons Bob in as easter eggs. I really love that stuff. I'd loved the whole freaking Godzilla tribute with episode 51 we had the Mogendromon scene the end fight for the two Main villains of the series or the three main villains of the show The three main forces I should say that was really exciting and fun as well. So yeah, I have fun I'm a huge Digimon fan since the early odds. I remember watching it on Fox Kids early Saturday mornings and Just the nostalgia alone I teared up a whole lot watching the show when they reached a new evolution and this character reappeared those were really emotional moments for me and just the fact that this show started all the way back in April 2020 and it had to be delayed for like four months because of the pandemic and then it aired some Tragedies occurred in my life and The show was Weaved in through all of that and it's just something that I look forward to every Sunday and I'm I'm gonna miss it because I know the next one is not related to the original kids. It's a brand new thing So I am gonna miss it. I kind of wanted them to maybe reboot the Second generation or something like that, but I don't think we're gonna get that I know they're doing a movie based on the second generation and then the kids But I don't know it's not the same sound the same as watching a Digimon TV show movies All right, but I like watching Digimon on TV But yeah, a lot of people don't like it. I'm okay with it. I thought it was fine I mean, yeah, Pink Saint was a little bit all over the place especially after you finish off the The main bad guy if you will then it just It slows down and bogs down completely and I totally understand it was a very uneven scripted show and a little bit too heavy on An Agumon and Tide But I love that slip, you know Next up is Fena pirate princess now This is a collaboration between adult swim crunchy roll and of course the studio animating Fena, which is production IG This is honestly Again, I haven't finished the series as of recording this This is this is a beautiful show artistically speaking. This is one of the best shows of 2021. It's a very Simple yet effective story. This is a historical fiction series on the 18th century high seas where you have pirates and you have all that stuff with the British Empire and mysterious Goblin islands that I think they're from Japan. I'm not too sure on the whole thing Um on the geography of this alternate world But nonetheless Fena's this young girl gets stranded on this island Her ship was attacked when she was a baby and a little kid and now in present time These characters that are sort of like ninja samurai goblin warriors, they adduct her and rescue her from the island that she was stranded It was a populated island But nonetheless she was trapped there and they wanted to wed her to the scumbag or whatever But nonetheless they free her and they find out that she is the key to what could potentially be this powerful artifact or hidden treasure the character Fena wants to find This other character that i'm not going to spoil but she eventually learns about uh His fate and they set out on this grand quest to learn about her past and how she relates to the artifact or treasure and there are some bad guys that are after her as well and yeah, it's very um anime meets pirate to the caribbean without being so wacky and CGI heavy But the art on this is phenomenal one of the best looking shows Every frickin screenshot in fena is wallpaper worthy. It's that great. It's that good. Everything flows so seamlessly the characters and the animation of them just Just talking the eye movements and the action scenes everything is so pretty and nice Just production i g just knocked it out of the park if you're gonna go for the visuals alone Easily top three of the year So that was a lot of shows that I watched however, I do want to briefly mention a couple shows I have my laptop here with me. The detective is already dead The case study of vanitas And how a realist hero rebuilt the kingdom those are three anime That I watched at least one episode and like I said earlier. I was just I was I was just busy I couldn't do it and there were some other shows as well kageki Shojo, I think that was the name and some others that I really wanted to watch but I told myself I can't do it. I'm just I'm barely catching up with the other stuff that I'm watching. I just couldn't however they were interesting enough That I want to go back and revisit at some point So I do have them still on my watch list on my q-list or whatever list it is So I will come back to them Just know that For the purpose of this video, I'm not going to talk about them Unfortunately, and I know detective is already dead talked about it on the previous video So I kind of dropped the ball on that one, but it was it was interesting the first episode was interesting I Haven't heard great things about the rest of the series, but I'll check it out and let you guys know So then in a nutshell is what I watched for the summer 2021 anime season I'm out of breath. I talked for way too long a lot of cool shows a lot of contenders for top anime of the year I'm interested in knowing what you guys thought of these shows if you watched any Um, and if you haven't what are some other shows that you want me to check out that I didn't talk about In this video, let me know in the comment section down below guys as always Thank you so much for liking commenting subscribing. We're on the road to 3k subscribers I'm really excited about that. Hopefully we can make that happen for the year ends You know god willing it happens and we can all celebrate all of that Thank you so much. I really do appreciate you sticking around and watching this video It's a long one. So if you can share it like Comment and all that stuff. I'll appreciate it even more. Thank you everybody. God bless.


That picture is not good. JC and I also wanted to share the exciting news that we got last week with the group, which is that the TCGA team has been named as one of the 2015 Service to America, oops, I just didn't mean to do that, there's my whole talk, Service to America medalist or what they call the SAMIs, sometimes affectionately called the Oscars of the federal government. And so we had several exciting events, including going to the Nationals game where we met Miss America but did not take our picture with her and also screeched the mascot who we did selfie with. We met Miss America but we didn't figure out that she was Miss America. She was standing with a crown next to a scientist as we are, we didn't know who she was. We did not. But anyways, we're one of 30 finalists, the awards will be given at a gala in October. And we wanted to take this moment to mention it, it's a little awkward to talk about your own award but really because JC and I very strongly believe this isn't an award for JC and I, this is an award for the entire TCGA team from, you know, everyone who's been involved from 2006 to the present. And many of you are here and so we just want to take a minute to congratulate everybody for the recognition we're getting for basically the service that we are doing for America.  And again, for those of you who don't know me, I'm Carolyn Hutter and I'm at the National Human Genome Research Institute. And so my focus is obviously on the sequencing aspects of TCGA. So as JC noted, we're done with almost all production and sequencing production for the whole exome sequencing has been completed. And our focus right now with the whole exome sequencing is actually on what we're calling MC3. So slightly convoluted, multi-center mutation calling, multi-tumor completion. Basically we had something called MC2, we needed a new name, we went to MC3. And our goal is to generate a high quality mutation call set for the TCGA cases really building on what we've learned through the multi-center mutation calling or MC2 exercises done to date. We'll have standardized calls across tumor types. We're working on containerizing the established mutation calling tools so they can be run in different environments and work. And this is really work being done through groups at UCSC, WashU, Baylor and the Broad and British Columbia. And in the end it'll really help facilitate some of the pan-cancer analysis. I also want to mention because whenever we talk about production being done, the people on my production call remind me, we actually have a huge production effort left in doing tumor specific validation efforts to support the AWG marker papers. So those 13 marker papers that JC had mentioned, we do additional targeted validation exercises on somatic mutations and some germline mutations that are found. And we'll continue to do that through the completion of those projects. In terms of whole genome sequencing, we have whole genome sequencing on 24 tumor types in TCGA, 14 of which we have more than 40 cases per tumor type. The last cases are some of these that JC was talking about that are getting some top-up sequencing and will be uploaded this month or into June. And in the progress of TCGA's continuing adaptation of some new technologies through the project, these last ones are actually being sequenced on Illumina X-10s. Most of the samples in our whole genome sequencing are actually being analyzed as part of the ICGC-TCGA pan-cancer analysis of whole genomes or the PECOG project, as we call it, which was actually featured as a major symposium at this, at last month's AACR, where Josh Stewart, who will be here these next two days and some of the other steering committee leaders, gave talks. And I think there's going to be some really exciting work continuing to come out of this project over the next year. In terms of future programs, as JC mentioned, there's not a TCGA 2.0. NHGRI's large-scale sequencing efforts are going to have an increased focus on Mendelian and common disease, but then, as JC also mentioned, there's lots of applications of cancer genomics and genomic medicine. And an exciting area provided pending appropriation, of course, is the Precision Medicine Initiative. So in talking about efforts with increased focus on common disease, part of that is thinking not just about the somatic, but also about risk. And I wanted to give people a heads up that NCI, Leah Mechanic, one of my colleagues who will be here and her others in NCI, are starting a challenge, stimulating innovation in breast cancer genetic epidemiology. And so if people are interested, you can watch the website or you can email me for some more information and I'll connect you to that as that gets announced. In terms of the Precision Medicine Initiative, it was alluded to in the State of the Union address and then announced formally by President Obama on January 30th, 2015. At NHGRI, we particularly like this picture because the DNA molecule there is actually Eric Green, our institute director, it hangs out in his suite and he got this last minute request, oh, can you get that down to the White House? And so, first of all, if anyone's ever tried to understand what it takes to get something into the White House, it had to go through intensive security. And then if any of you are like me and have ever tried to travel with one of these models, they're not designed to go on the road. So lots of packing tape and boxing and all of that happened for our DNA molecule model to have its day in the sun. But it was a very exciting day because that's again where Obama mentioned his current budget is including a new Precision Medicine Initiative that is hopefully bringing America closer to curing diseases like cancer and diabetes and giving us all access potentially to the personalized information that we need to keep ourselves and our families healthier, just quoting President Obama there. If you want to find out more about this initiative, I'll direct you to two places. One is the New England Journal of Medicine perspective that was put together by Francis Collins and Harold Varmus that came out the same day as the President's announcement. And then also this website on the bottom, NIH is keeping a very good website including information on upcoming public workshops that'll keep you posted as we hopefully get to move forward with this exciting initiative. And that is it for me and my announcements, so I'll turn it back over to Katie.