Hexagonal Wilson Loops in Planar $\mathcal{N}=4$ SYM Theory at Finite Coupling

TL;DR

This paper provides a complete non-perturbative description of 6-gluon MHV and NMHV amplitudes in planar N=4 SYM theory at finite coupling, using the Operator Product Expansion (OPE) series around the collinear limit.

Contribution

It offers the full OPE series for these amplitudes at finite coupling, enabling a non-perturbative understanding of their structure.

Findings

Finite coupling prediction for all OPE terms.

Non-perturbative representation of 6-gluon amplitudes.

Complete collinear expansion at finite coupling.

Abstract

We report on the complete OPE series for the 6-gluon MHV and NMHV amplitudes in planar $\mathcal{N}=4$ SYM theory. Namely, we provide a finite coupling prediction for all the terms in the expansion of these amplitudes around the collinear limit. These furnish a non-perturbative representation of the full amplitudes.