Minimal solution of the AdS/CFT crossing equation

TL;DR

This paper explicitly solves the crossing equation in AdS/CFT, deriving the minimal BES/BHL dressing phase and identifying potential CDD factors, advancing understanding of integrable structures in gauge-string duality.

Contribution

It provides a minimal solution to the crossing equation in AdS/CFT, explicitly deriving the BES/BHL dressing phase and classifying possible CDD factors.

Findings

Derived the BES/BHL dressing phase as a minimal solution.

Identified and classified possible CDD factors.

Provided explicit solutions under general assumptions.

Abstract

We solve explicitly the crossing equation under sufficiently general assumptions on the structure of the dressing phase. We obtain the BES/BHL dressing phase as a minimal solution of the crossing equation and identify the possible CDD factors.