Take the tour ×  What are the generators and relations for the
Lie superalgebra $\mathfrak{psu}(2, 2 | 4)$? Thank you very
much.  share|improve this question add comment  1 Answer  up
vote 1 down vote accepted  The article arXiv:0505234, "Non-
linear Realization of $\operatorname{PSU}(2,2|4)$ on the Light-
Cone" by Pierre Ramond et al. has details and further
references.  The algebra has 30 bosonic generators forming
direct product of conformal algebra $\mathfrak{su}(2,2) \sim
\mathfrak{so}(4,2)$ (15 generators) and internal
$\mathfrak{su}(4) \sim \mathfrak{so}(6)$ (also 15 generators),
as well as 32 fermionic generators.  Fermionic generators form a
representation of $\mathfrak{su}(2,2) \otimes \mathfrak{su}(4)$
under adjoint action of bosonic sub-algebra.  share|improve this
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