Amplitudes and Ultraviolet Behavior of N=8 Supergravity

TL;DR

This paper presents computational tools for evaluating multi-loop scattering amplitudes in N=8 supergravity, revealing its ultraviolet behavior is comparable to N=4 super-Yang-Mills theory up to at least four loops.

Contribution

It introduces new computational methods linking N=8 supergravity amplitudes to N=4 super-Yang-Mills theory, and analyzes their ultraviolet properties.

Findings

Ultraviolet behavior of N=8 supergravity is as good as N=4 super-Yang-Mills up to four loops.

Develops tools for multi-loop amplitude evaluation in supergravity.

Highlights the remarkable ultraviolet properties of N=8 supergravity.

Abstract

In this contribution we describe computational tools that permit the evaluation of multi-loop scattering amplitudes in N=8 supergravity, in terms of amplitudes in N=4 super-Yang-Mills theory. We also discuss the remarkable ultraviolet behavior of N=8 supergravity, which follows from these amplitudes, and is as good as that of N=4 super-Yang-Mills theory through at least four loops.