Asymptotic Symmetry of Four Dimensional Einstein-Yang-Mills and Einstein-Maxwell Theory

TL;DR

This paper derives the asymptotic symmetry algebras of four-dimensional Einstein-Yang-Mills and Einstein-Maxwell theories using celestial amplitude OPEs, confirming known results through an alternative approach.

Contribution

It introduces an alternative method using celestial amplitude OPEs to determine asymptotic symmetries in these theories, aligning with existing literature.

Findings

Asymptotic symmetry algebras match known results

Uses celestial amplitude OPEs as a novel approach

Confirms the consistency of the method with previous studies

Abstract

Asymptotic symmetry plays an important role in determining physical observables of a theory. Recently, in the context of four dimensional asymptotically flat pure gravity and $\mathcal{N}=1$ supergravity, it has been proposed that OPEs of appropriate celestial amplitudes can be used to find their asymptotic symmetries. In this paper we find the asymptotic symmetry algebras of four dimensional Einstein-Yang-Mills and Einstein-Maxwell theories using this alternative approach, namely using the OPEs of their respective celestial amplitudes. The algebra obtained here are in agreement with the known results in the literature.