Dressing phases of AdS3/CFT2

TL;DR

This paper derives the all-loop dressing phases for the AdS3/CFT2 integrable system, revealing a novel structure and confirming their behavior in strong and weak coupling regimes through analytical and perturbative methods.

Contribution

It provides the first all-loop dressing phases for AdS3/CFT2, solving crossing relations and analyzing their singularity structure, with comparisons to known phases in other AdS/CFT cases.

Findings

Two novel dressing phases with unique structure

Strong-coupling limit matches universal phase

Sub-leading order computed and compared with perturbative results

Abstract

We determine the all-loop dressing phases of the AdS3/CFT2 integrable system related to type IIB string theory on AdS3 x S3 x T4 by solving the recently found crossing relations and studying their singularity structure. The two resulting phases present a novel structure with respect to the ones appearing in AdS5/CFT4 and AdS4/CFT3. In the strongly-coupled regime, their leading order reduces to the universal Arutyunov-Frolov-Staudacher phase as expected. We also compute their sub-leading order and compare it with recent one-loop perturbative results, and comment on their weak-coupling expansion.