Asymptotic symmetries and memories of gauge theories in FLRW spacetimes

TL;DR

This paper explores the asymptotic symmetries and memory effects of gauge theories in FLRW spacetimes, revealing differences from flat spacetime and extending analysis to non-Abelian fields with matter coupling.

Contribution

It provides the first detailed analysis of asymptotic symmetries and memory effects in FLRW universes, including non-Abelian gauge theories with matter fields.

Findings

Identified a major inconsistency in asymptotic symmetries of electrodynamics in FLRW.

Derived memory effects specific to FLRW backgrounds and compared with flat spacetime.

Explored the construction of Poisson superbrackets in the context of coupled non-Abelian gauge theories.

Abstract

In this paper, we investigate the asymptotic structure of gauge theories in decelerating and spatially flat Friedmann-Lema\^itre-Robertson-Walker universes. Firstly, we thoroughly explore the asymptotic symmetries of electrodynamics in this background, which reveals a major inconsistency already present in the flat case. Taking advantage of this treatment, we derive the associated memory effects, discussing their regime of validity and differences with respect to their flat counterparts. Next, we extend our analysis to non-Abelian Yang-Mills, coupling it dynamically and simultaneously to a Dirac spinor and a complex scalar field. Within this novel setting, we examine the possibility of constructing Poisson superbrackets based on the covariant phase space formalism.