The general Leigh-Strassler deformation and integrability

TL;DR

This paper investigates the integrability of the general Leigh-Strassler deformation of N=4 SYM, using R-matrix techniques to identify new integrable points in the parameter space where traditional S-matrix methods are ineffective.

Contribution

It introduces R-matrix methods to analyze integrability of the Leigh-Strassler deformation, discovering new integrable points beyond known cases.

Findings

Identified new integrable points in the Leigh-Strassler parameter space.

Demonstrated limitations of S-matrix techniques for generic deformations.

Extended understanding of integrability in deformed supersymmetric theories.

Abstract

The success of the identification of the planar dilatation operator of N=4 SYM with an integrable spin chain Hamiltonian has raised the question if this also is valid for a deformed theory. Several deformations of SYM have recently been under investigation in this context. In this work we consider the general Leigh-Strassler deformation. For the generic case the S-matrix techniques cannot be used to prove integrability. Instead we use R-matrix techniques to study integrability. Some new integrable points in the parameter space are found.