The Bethe Ansatz for Z_S Orbifolds of N=4 Super Yang-Mills Theory

TL;DR

This paper investigates the integrability of Z_S orbifolds of N=4 Super Yang-Mills theory using worldsheet techniques, deriving Bethe equations to understand their spectral properties.

Contribution

It introduces the Bethe ansatz framework for Z_S orbifolds of N=4 SYM, extending integrability methods to these orbifold theories.

Findings

Derived Bethe equations for Z_S orbifold theories

Confirmed integrability in the perturbative regime

Connected string worldsheet techniques with gauge theory spectral analysis

Abstract

Worldsheet techniques can be used to argue for the integrability of string theory on AdS_5xS^5/Z_S, which is dual to the strongly coupled Z_S-orbifold of N=4 SYM. We analyze the integrability of these field theories in the perturbative regime and construct the relevant Bethe equations.