Comments on $\lambda$--deformed models from 4D Chern-Simons theory

Abstract

We study the $\lambda$--deformation of symmetric coset models from the viewpoint of a four dimensional Chern-Simons theory \cite{CY3}. In addition, by applying the "dual" boundary conditions of the ones used in the construction $\eta$--deformed PCM in the trigonometric description \cite{TRIGYB} we construct a $\lambda$--deformation type model.