Dual Conformal Properties of Six-Dimensional Maximal Super Yang-Mills Amplitudes

TL;DR

This paper shows that six-dimensional maximal super-Yang-Mills amplitudes exhibit dual conformal symmetry at tree and loop levels, which also applies to massive four-dimensional amplitudes through dimensional interpretation.

Contribution

It establishes dual conformal covariance of six-dimensional super-Yang-Mills amplitudes at tree and loop levels, extending symmetry understanding in higher dimensions.

Findings

Tree-level amplitudes are covariant under six-dimensional dual conformal group.

Loop amplitudes also exhibit dual conformal symmetry.

Six-dimensional symmetry applies to massive four-dimensional amplitudes via dimensional interpretation.

Abstract

We demonstrate that the tree-level amplitudes of maximal super-Yang-Mills theory in six dimensions, when stripped of their overall momentum and supermomentum delta functions, are covariant with respect to the six-dimensional dual conformal group. Using the generalized unitarity method, we demonstrate that this property is also present for loop amplitudes. Since the six-dimensional amplitudes can be interpreted as massive four-dimensional ones, this implies that the six-dimensional symmetry is also present in the massively regulated four-dimensional maximal super-Yang-Mills amplitudes.