Integrable deformations of AdS/CFT
Marius de Leeuw, Anton Pribytok, Ana L. Retore, Paul Ryan
Abstract
A bstract 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 AdS 3 × S 3 × M 4 string sigma model.
Topics & Concepts
Integrable systemEmbeddingString (physics)Symmetry (geometry)SigmaMathematical physicsScatteringDeformation (meteorology)Sigma modelPhysicsTheoretical physicsMathematicsPure mathematicsGeometryQuantum mechanicsComputer scienceMeteorologyNonlinear systemArtificial intelligenceBlack Holes and Theoretical PhysicsNonlinear Waves and SolitonsAlgebraic structures and combinatorial models