The equations of motion in this theory can be derived via sigma parametrization, or by considering the invariance under the Weyl transformation of the Polyakov action.
In this theory, the vacuum expectation value of the dilaton gives the coupling constant. Transforming one quantity in this theory to a Minkowski space gives rise to the Virasoro constraints, which are commonly used alongside the light-cone gauge in order to quantize symmetries. The equations of motion in this theory can be derived via sigma parametrization, or by considering the invariance under the Weyl transformation of the Polyakov action. This theory predicts the existence of 10 to the 500 false vacua in its namesake landscape, which arises because of the large number of Calabi-Yau manifolds one can select. The original version of this theory posited 26 dimensions and only accounted for bosons, but more successful recent versions of this theory have incorporated supersymmetry. For 10 points, identify this theory which requires a 10-dimensional spacetime and is generalized by M-theory, which posits that all particles are actually tiny vibrating namesake one-dimensional objects.
In this theory, the vacuum expectation value of the dilaton gives the coupling constant.
: superstring theory