Integrable deformations of AdS/CFT

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 $\mathrm{Ad}{\mathrm{S}}_3\times {\mathrm{S}}^3\times {\mathrm{M}}^4$ string sigma model.

arXiv commentv2: We corrected typos and added some references; v3: corrected crossing for AdS2 deformation

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Cited by in corpus (4)

• Introduction to classical and quantum integrability
• Integrable supersymmetric deformations of $\mathrm{Ad}{\mathrm{S}}_3\times {\mathrm{S}}^3\times {\mathrm{T}}^4$
• A study of integrable form factors in massless relativistic $Ad{S}_2$
• Flag Integrable Models and Generalized Graded Algebras