Almost abelian twists and AdS/CFT

Abstract

A large class of the recently found unimodular nonabelian homogeneous Yang–Baxter deformations of the AdS5×S5 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.

Keywords

• Holography
• AdS/CFT correspondence
• Integrability
• Noncommutative field theory
• T duality