Comments on gluon 6-point scattering amplitudes in N=4 SYM at strong coupling

TL;DR

This paper investigates gluon 6-point scattering amplitudes in N=4 SYM at strong coupling using AdS/CFT, focusing on boundary conditions, diagrammatic interpretations, and collinear limits to compare with field theory results.

Contribution

It introduces a cutting and gluing method to construct 6-point amplitudes with boundary conditions, providing insights into their relation to field theory diagrams and collinear behavior.

Findings

Constructed 6-point amplitudes with boundary conditions

Analyzed collinear limits of 6- and 5-point amplitudes

Found partial matches to field theory results

Abstract

We use the AdS/CFT prescription of Alday and Maldacena \cite{am} to analyze gluon 6-point scattering amplitudes at strong coupling in ${\cal N}=4$ SYM. By cutting and gluing we obtain AdS 6-point amplitudes that contain extra boundary conditions and come close to matching the field theory results. We interpret them as parts of the field theory amplitudes, containing only certain diagrams. We also analyze the collinear limits of 6- and 5-point amplitudes and discuss the results.