Integrable deformations of AdS/CFT

Abstract

Abstract In this paper we study in detail the deformations introduced in [1] of the integrable structures of the AdS2,3 integrable models. We do this by embedding the corresponding scattering matrices into the most general solutions of the Yang-Baxter equation. We show that there are several non-trivial embeddings and corresponding deformations. We work out crossing symmetry for these models and study their symmetry algebras and representations. In particular, we identify a new elliptic deformation of the AdS3× S3× M4 string sigma model.