The spectral problem for strings on twisted AdS_5 x S^5

TL;DR

This paper analyzes the spectral problem of integrable superstrings on twisted AdS_5 x S^5, providing a unified framework for various deformations using twisted transfer matrices and mirror TBA equations.

Contribution

It introduces a comprehensive approach to describe all orbifold and TsT deformations of AdS_5 x S^5 within integrability, extending previous specific cases.

Findings

Explicit asymptotic description via twisted transfer matrix

Matching geometric deformations with integrability-compatible twists

Unified treatment of various deformations using mirror TBA equations

Abstract

We discuss the spectral problem for integrable superstrings on generically twisted AdS_5 x S^5, meaning all its orbifolds and TsT transformed versions. We explicitly give the asymptotic description of these theories through a twisted transfer matrix, and carefully match the geometric deformations with twists allowed by integrability. We then discuss the mirror TBA equations that describe these theories at finite size. This unifies the treatment of various specific deformations previously considered in this setting, and extends it to completely general twists.