Integrable deformations of AdS/CFT

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 n...

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Bibliographic Details
Published in:The journal of high energy physics 2022-05, Vol.2022 (5), p.12-34, Article 12
Main Authors: de Leeuw, Marius, Pribytok, Anton, Retore, Ana L., Ryan, Paul
Format: Article
Language:English
Subjects:
AdS-CFT Correspondence
Algebra
Classical and Quantum Gravitation
Conformal Field Models in String Theory
Deformation
Elementary Particles
High energy physics
Integrable Field Theories
Physics
Physics and Astronomy
Quantum Field Theories
Quantum Field Theory
Quantum Physics
Regular Article - Theoretical Physics
Relativity Theory
Sigma Models
String Theory
Symmetry
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Summary: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.
ISSN:1029-8479
1029-8479
DOI:10.1007/JHEP05(2022)012