Abstract

In this talk we will explore integrable deformations of the GxG/G_0 supercoset sigma model that plays a role in the Green-Schwarz formulation of superstrings on AdS3 x S3 x T4 (G = PSU ) and AdS3 x S3 x S3 x S1 (G = D(2,1;α)). After reviewing the single parameter deformation of Delduc, Magro and Vicedo, which treats the two copies of G symmetrically, the main focus of the talk will be the construction of an asymmetric two-parameter deformation based on Κlimčík’s bi-Yang-Baxter sigma model. Some evidence will also be presented for the existence of a three-parameter deformation. Various interesting limits (including the squashed three-sphere, the Pohlmeyer-reduced theory and the mirror model) of the corresponding deformed metrics will be analyzed and the issue of whether these models describe deformations of superstrings will be briefly discussed.