Soft and Collinear Limits in $\mathcal{N}=8$ Supergravity using Double Copy Formalism

TL;DR

This paper leverages the double copy formalism to derive soft and collinear limits in $ abla=8$ supergravity from known results in $ abla=4$ super Yang-Mills theory, highlighting a specific scalar self-duality condition.

Contribution

It introduces a method to compute supergravity limits using double copy relations and a self-duality condition to fix R-symmetry indices.

Findings

Derived supergravity soft and collinear limits from SYM results

Implemented a self-duality condition to constrain scalar R-symmetry indices

Enhanced understanding of amplitude relations in supergravity and gauge theories

Abstract

It is known that $\mathcal{N}=8$ supergravity is dual to $\mathcal{N}=4$ super Yang-Mills (SYM) via the double copy relation. Using the explicit relation between scattering amplitudes in the two theories, we calculate the soft and collinear limits in $\mathcal{N}=8$ supergravity from know results in $\mathcal{N}=4$ SYM. In our application of double copy, a particular self-duality condition is chosen for scalars that allows us to constrain and determine the R-symmetry indices of the supergravity states in the collinear limit.