# Note on asymptotic symmetries and soft gluon theorems

## TL;DR

This paper explores the connection between soft gluon theorems and asymptotic symmetries in non-Abelian gauge theories, extending the understanding of their underlying symmetries and Ward identities.

## Contribution

It demonstrates that the leading soft gluon theorem corresponds to the Ward identity of asymptotic symmetries, and suggests the sub-leading theorem can be derived from the same symmetry.

## Key findings

- Leading soft gluon theorem is a Ward identity of asymptotic symmetries.
- Sub-leading soft gluon theorem may also follow from these symmetries.
- Provides a symmetry-based interpretation of soft gluon theorems.

## Abstract

Recently, the leading soft gluon theorem with single soft emission was shown to be the Ward identity of a two dimensional $\cal G$-Kac-Moody symmetry. In this note, we show that the leading soft gluon theorem can be interpreted as the Ward identity for the asymptotic symmetries of non-Abelian gauge theory. We further argue that the sub-leading soft gluon theorem can follow from the same symmetry.