Towards integrability for AdS3/CFT2

TL;DR

This paper reviews recent advances in applying integrability techniques to the AdS3/CFT2 correspondence, focusing on the derivation of the all-loop S matrix and Bethe-Yang equations for various superstring backgrounds.

Contribution

It provides a comprehensive, pedagogical review of integrability methods applied to AdS3/CFT2, including massive and massless modes, and backgrounds with different fluxes.

Findings

Derivation of the all-loop S matrix for AdS3/CFT2

Formulation of Bethe-Yang equations for superstring sectors

Extension of integrability techniques to diverse backgrounds

Abstract

We review the recent progress towards applying worldsheet integrability techniques to the $AdS_3/CFT_2$ correspondence to find its all-loop S matrix and Bethe-Yang equations. We study in full detail the massive sector of $AdS_3\times S^3\times T^4$ superstrings supported by pure Ramond-Ramond (RR) fluxes. The extension of this machinery to accommodate massless modes, to the $AdS_3\times S^3\times S^3\times S^1$ pure-RR background and to backgrounds supported by mixed background fluxes is also reviewed. While the results discussed here were found elsewhere, our presentation sometimes deviates from the one found in the original literature in an effort to be pedagogical and self-contained.