Soft theorems in maximally supersymmetric theories

TL;DR

This paper proves the supersymmetric extension of the soft theorem in ${ m N}=4$ super-Yang-Mills and ${ m N}=8$ supergravity at tree level, confirming its validity through super-BCFW recursion relations and explicit examples.

Contribution

It provides the first proof of super soft theorems in maximally supersymmetric theories at tree level using super-BCFW recursion.

Findings

Super soft theorems hold in ${ m N}=4$ SYM and ${ m N}=8$ supergravity.

Theorems are verified with explicit examples.

Super-BCFW recursion relations are used for proof.

Abstract

In this paper we study the supersymmetric generalization of the new soft theorem which was proposed by Cachazo and Strominger recently. At tree level, we prove the validity of the super soft theorems in both ${\cal N}=4$ super-Yang-Mills theory and ${\cal N}=8$ supergravity using super-BCFW recursion relations. We verify these theorems exactly by showing some examples.