Mirror Thermodynamic Bethe Ansatz for AdS3/CFT2

TL;DR

This paper develops a comprehensive thermodynamic Bethe ansatz framework for superstrings on AdS3/CFT2, accurately capturing all modes without special limits, advancing the understanding of integrable models in string theory.

Contribution

It formulates the mirror TBA equations for AdS3/CFT2, including all modes, using recent dressing factors, without relying on limiting cases or special kinematics.

Findings

Derived canonical mirror TBA equations for all modes.

Accounted for both massive and massless modes.

Discussed simplified TBA equations and Y-system.

Abstract

We consider superstrings on the pure-Ramond-Ramond $AdS_3\times S^3\times T^4$ background. Using the recently-proposed dressing factors for the worldsheet S matrix, we formulate the string hypothesis for the mirror Bethe-Yang equations, and use it to derive the canonical mirror thermodynamic Bethe ansatz (TBA) equations of the model. For the first time, these equations account for all massive and massless modes of the model, and do not resort to any limit or special kinematics. We also discuss the simplified mirror TBA equations and the Y-system of the model.