Dressing phases ofAdS3/CFT2

Abstract

We determine the all-loop dressing phases of the ${\mathrm{AdS}}_{3}/{\mathrm{CFT}}_{2}$ integrable system related to type IIB string theory on ${\mathrm{AdS}}_{3}\ifmmode\times\else\texttimes\fi{}{\mathrm{S}}^{3}\ifmmode\times\else\texttimes\fi{}{\mathrm{T}}^{4}$ 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 ${\mathrm{AdS}}_{5}/{\mathrm{CFT}}_{4}$ and ${\mathrm{AdS}}_{4}/{\mathrm{CFT}}_{3}$. In the strongly coupled regime, their leading order reduces to the universal Arutyunov--Frolov--Staudacher phase as expected. We also compute their subleading order and compare it with recent one-loop perturbative results and comment on their weak-coupling expansion.