A Note on MHV Amplitudes for Gravitons

TL;DR

This paper explores the connection between MHV graviton amplitudes and twistor space, suggesting a potential twistor-string framework for ${ m extbf{N}=8}$ supergravity, inspired by analogous structures in Yang-Mills theory.

Contribution

It establishes a relation between MHV graviton amplitudes and twistor space correlators, proposing a new approach for supergravity amplitude construction.

Findings

MHV graviton amplitudes relate to twistor space correlators

Potential for a twistor-string formulation of ${ m extbf{N}=8}$ supergravity

Analogies with Yang-Mills theory structures

Abstract

We show how the maximally helicity violating (MHV) scattering amplitudes for gravitons can be related to current correlators and vertex operators in twistor space. This is similar to what happens in Yang-Mills theory and raises the possibility of a direct twistor-string-like construction for ${\cal N}=8$ supergravity.