New Dressing Factors for AdS3/CFT2

TL;DR

This paper proposes a new set of dressing factors for the AdS3/CFT2 integrable system, addressing inconsistencies in previous proposals by satisfying all crossing symmetry conditions and analyzing their analytic properties.

Contribution

Introduces a novel set of dressing factors for AdS3/CFT2, resolving issues with previous proposals and ensuring consistency with crossing symmetry and analytic properties.

Findings

Existing dressing factors violate some crossing conditions.

New dressing factors satisfy all crossing symmetry constraints.

Analytic properties are consistent in string and mirror regions.

Abstract

The worldsheet S matrix of strings on the $AdS_3\times S^3\times T^4$ background is almost entirely fixed by symmetries, up to five functions -- the dressing factors. These must satisfy several consistency conditions, in particular a set of crossing equations. We find that the existing proposal for the dressing factors, while crossing invariant, violates some of these consistency conditions. We put forward a new set of dressing factors and discuss in detail their analytic properties in the string and mirror region, as well as under bound-state fusion.