On the Dressing Factors, Bethe Equations and Yangian Symmetry of Strings on AdS3 x S3 x T4

TL;DR

This paper advances the understanding of integrability in AdS3/CFT2 by deriving dressing factors, Bethe equations, and analyzing Yangian symmetry in the massless sector, connecting these to perturbative results.

Contribution

It provides the first derivation of all-loop Bethe equations and elucidates the Yangian symmetry structure for massless modes in AdS3/CFT2.

Findings

Derived dressing factors for massless and mixed-mass S matrix

Established all-loop Bethe equations and their symmetries

Linked Yangian symmetry to massless sector and perturbative results

Abstract

Integrability is believed to underlie the AdS3/CFT2 correspondence with sixteen supercharges. We elucidate the role of massless modes within this integrable framework. Firstly, we find the dressing factors that enter the massless and mixed-mass worldsheet S matrix. Secondly, we derive a set of all-loop Bethe Equations for the closed strings, determine their symmetries and weak-coupling limit. Thirdly, we investigate the underlying Yangian symmetry in the massless sector and show that it fits into the general framework of Yangian integrability. In addition, we compare our S matrix in the near-relativistic limit with recent perturbative worldsheet calculations of Sundin and Wulff.