Integrable deformations of AdS/CFT

TL;DR

This paper explores integrable deformations of AdS/CFT models by embedding scattering matrices into solutions of the Yang-Baxter equation, revealing new deformations and symmetries, including an elliptic deformation of the AdS3 string sigma model.

Contribution

It provides a detailed analysis of integrable deformations of AdS/CFT models through embedding scattering matrices into Yang-Baxter solutions, identifying new deformations and symmetry structures.

Findings

Multiple non-trivial embeddings and deformations identified

Crossing symmetry analyzed for these models

Discovery of a new elliptic deformation of the AdS3 string sigma model

Abstract

In this paper we study in detail the deformations introduced in [1] of the integrable structures of the AdS$_{2,3}$ 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 $\rm AdS_3 \times S^3 \times M^4$ string sigma model.