The Excited Hexagon Reloaded

TL;DR

This paper refines the calculation of six-gluon scattering amplitudes in strongly coupled N=4 SYM theory's high energy limit, revealing a simplified formula and correcting previous conjectures through symmetry exploitation.

Contribution

It introduces a symmetry-based approach to simplify and accurately compute the Regge limit of six-gluon amplitudes at strong coupling, correcting earlier conjectures.

Findings

A new simplified formula for the Regge limit of 6-gluon amplitudes.

Identification that a previously observed term must vanish.

Correction of earlier conjectured amplitude expressions.

Abstract

This work revisits the computation of six-gluon scattering amplitudes in the high energy limit of strongly coupled N=4 supersymmetric Yang-Mills theory. It is based on previous studies in which we showed that the amplitude simplifies in the Regge regime and outlined an efficient computational scheme. By exploiting a symmetry of the underlying equations we are now able to argue that a term we had seen in preliminary numerical studies must vanish identically. The derived formula for the Regge limit of the 6-gluon scattering amplitude at strong coupling differs from the one we had conjectured previously.