$\lambda$-deformed $AdS_5\times S^5$ superstring from 4D Chern-Simons theory

Abstract

We present the construction of the $\lambda$-deformation of $AdS_5\times S^5$ superstring from the four dimensional Chern-Simons-type gauge theory. The procedure is applicable to all the semi-symmetric coset models and generalizes the previous construction of $\lambda$-deformation of the symmetric coset models.