Parity Symmetry and Soft Limit for the Cachazo-Geyer Gravity Amplitude

TL;DR

This paper proves that the Cachazo-Geyer supergravity amplitude proposal at tree level respects parity symmetry and the correct soft limit behavior, confirming its consistency with fundamental scattering amplitude properties.

Contribution

It demonstrates that the Cachazo-Geyer formula satisfies key physical symmetries and limits, validating its correctness for supergravity amplitudes.

Findings

Parity symmetry is satisfied by the proposed amplitudes.

Soft limit behavior matches theoretical expectations.

Supports the validity of the Cachazo-Geyer formula for supergravity.

Abstract

In this note, we prove that the recent proposal for the tree-level n-particle N=8 supergravity amplitudes by Cachazo and Geyer satisfies parity symmetry and soft limit behavior expected for graviton scattering amplitudes.