Soft Graviton Theorem in Arbitrary Dimensions

TL;DR

This paper proves the validity of the soft graviton theorem at tree level in any number of dimensions, utilizing the CHY formula and angular momentum operators to establish the conjecture.

Contribution

It provides a proof of the conjecture for soft graviton theorems in arbitrary dimensions using CHY formulas and angular momentum operators.

Findings

Soft graviton theorem holds at tree level in arbitrary dimensions.

The proof relies on the CHY formula for graviton amplitudes.

Sub-leading operators are defined via total angular momentum.

Abstract

In this note we show that the recent conjecture proposed by Cachazo and Strominger holds at tree level in arbitrary dimensions. The proof makes crucial use of the fact that the sub-leading operator is defined using the total angular momentum operator. A key ingredient that makes the proof possible is the CHY formula for graviton amplitudes in arbitrary number of dimensions.