Beauty and the Twist: The Bethe Ansatz for Twisted N=4 SYM

TL;DR

This paper extends the Bethe ansatz framework to twisted N=4 SYM theories, deriving the corresponding Bethe equations and exploring their integrable spin chain structures, including higher-loop and noncommutative deformations.

Contribution

It develops a systematic method for twisting the integrable spin chain and Bethe ansatz of N=4 SYM, incorporating higher-loop effects and Cartan generator twists.

Findings

Derived Bethe equations for twisted N=4 SYM at multiple loops

Identified a noncommutative deformation of the gauge theory

Generalized twists involving conformal algebra generators

Abstract

It was recently shown that the string theory duals of certain deformations of the N=4 gauge theory can be obtained by a combination of T-duality transformations and coordinate shifts. Here we work out the corresponding procedure of twisting the dual integrable spin chain and its Bethe ansatz. We derive the Bethe equations for the complete twisted N=4 gauge theory at one and higher loops. These have a natural generalization which we identify as twists involving the Cartan generators of the conformal algebra. The underlying model appears to be a form of noncommutative deformation of N=4 SYM.