Almost abelian twists and AdS/CFT

TL;DR

This paper demonstrates that many unimodular nonabelian Yang-Baxter deformations of the AdS_5 x S^5 superstring can be viewed as sequences of TsT transformations and are dual to noncommutative supersymmetric Yang-Mills theories, based on the associated r matrices.

Contribution

It provides a new understanding of the duality between certain Yang-Baxter deformations and noncommutative gauge theories, explicitly connecting deformation structures to dual field theories.

Findings

Many deformations are dual to noncommutative supersymmetric Yang-Mills theories.

Deformations can be realized as sequences of TsT transformations.

The structure of dual theories is determined by the associated r matrices.

Abstract

A large class of the recently found unimodular nonabelian homogeneous Yang-Baxter deformations of the AdS_5 x S^5 superstring can be realized as sequences of noncommuting TsT transformations. I show that many of them are duals to various noncommutative versions of supersymmetric Yang-Mills theory, structurally determined directly in terms of the associated r matrices, in line with previous expectations in the literature.