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.

v2: We corrected typos and added some references; v3: corrected crossing for AdS2 deformation

References in corpus (15)

• Derivation of the action and symmetries of the q-deformed AdS_5 x S^5 superstring
• An Integrable Deformation of the AdS5 x S5 Superstring
• Quantum Deformations of the One-Dimensional Hubbard Model
• Spacetimes for λ-deformations
• The complete AdS_3 x S^3 x T^4 worldsheet S-matrix
• Towards a two-parameter q-deformation of AdS_3 x S^3 x M^4 superstrings
• All-loop worldsheet S matrix for AdS_3 x S^3 x T^4
• Towards integrability for AdS3/CFT2
• Classifying nearest-neighbour interactions and deformations of AdS
• Secret Symmetries of Type IIB Superstring Theory on AdS3 x S3 x M4
• Integrable S-matrices, massive and massless modes and the AdS_2 x S^2 superstring
• The ${\mathrm{AdS}}_3\times {\mathrm{S}}^3\times {\mathrm{S}}^3\times {\mathrm{S}}^1$ worldsheet S matrix
• Free Fermions, vertex Hamiltonians, and lower-dimensional AdS/CFT
• On quantum deformations of $Ad{S}_3\times S^3\times T^4$ and mirror duality
• Three-parameter deformation of $\mathbb{R}\times S^3$ in the Landau-Lifshitz limit

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