On the $AdS_3\times S^3\times S^3\times S^1$ dressing factors

TL;DR

This paper proposes dressing factors for the worldsheet S matrix of the $AdS_3\times S^3\times S^3\times S^1$ background with mixed flux, ensuring consistency with crossing, unitarity, and matching perturbative results.

Contribution

It introduces new dressing factors for the massive excitations in this specific string theory background, compatible with known physical constraints.

Findings

Dressing factors are compatible with crossing symmetry.

They reproduce perturbative results for any ratio of the three-spheres' radii.

The proposal applies to both string and mirror kinematics.

Abstract

We propose dressing factors for massive excitations of the worldsheet S matrix of $AdS_3\times S^3\times S^3\times S^1$ supported by mixed Ramond--Ramond and Neveu-Schwarz--Neveu-Schwarz flux, in the "string" and "mirror" kinematics. Our proposal is compatible with crossing and unitarity, and it reproduces the available perturbative results for any ratio of the two three-spheres' radii.