S matrix for a three-parameter integrable deformation of AdS3 × S3 strings

In this article we construct the effective field theory associated to the ℝ × S3 sector of the three-parameter deformation of AdS3 × S3 × T4 in the Landau-Lifshitz approximation. We use this action to compute the dispersion relation of excitations around the BMN vacuum and the perturbative S-matrix associated to them. We are able to compute and sum all the different loop contributions to the S-matrix in this limit.

“…(3.4) This result can be checked against the expression computed in [44] from the uniform light-cone gauge quantisation of the non-linear string sigma model…”

Section: Quantisation Near the Bps Vacuummentioning

confidence: 94%

Section: Quantisation and S-matrixmentioning

confidence: 95%

Section: Jhep07(2021)028mentioning

confidence: 98%

Section: Jhep07(2021)028mentioning

confidence: 99%

Section: Introductionmentioning

confidence: 95%

See 3 more Smart Citations

Three-parameter deformation of ℝ × S3 in the Landau-Lifshitz limit

García

Wyss

2021

Elliptic deformations of the AdS3 × S3 × T4 string

Hoare,

Retore,

Seibold

2024

Self Cite

With the aim of investigating the existence of an integrable elliptic deformation of strings on AdS3 × S3 × T4, we compute the tree-level worldsheet S-matrix of the elliptically-deformed bosonic sigma model on AdS3 × S3 in uniform light-cone gauge. The resulting tree-level S-matrix is compatible with the integrability of the model and has interesting features, including a hidden U(1) symmetry not manifest in the Lagrangian. We find that it cannot be embedded in the known exact integrable R-matrices describing deformations of the undeformed AdS3 × S3 × T4 light-cone gauge S-matrix including fermions. Therefore, we construct embeddings of the deformed 6-d metric in type II supergravity with constant dilaton and homogeneous fluxes. The simplicity of these solutions suggests they are promising candidates to lead to an integrable string sigma model including fermions.

Integrable deformations of AdS/CFT

Leeuw

Pribytok

Retore

et al. 2022

In this paper we study in detail the deformations introduced in [1] of the integrable structures of the AdS2,3 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 AdS3× S3× M4 string sigma model.