# Asymptotic Symmetries of Maxwell Theory in Arbitrary Dimensions at Spatial Infinity

## TL;DR

This paper analyzes the asymptotic symmetries of Maxwell theory at spatial infinity in arbitrary dimensions, establishing well-defined action principles, conserved charges, and boundary conditions, with implications for null infinity and inertial observers.

## Contribution

It provides a comprehensive analysis of Maxwell asymptotic symmetries in arbitrary dimensions, introducing a well-defined action principle and generalizing parity conditions.

## Key findings

- Antipodal condition imposed by regularity at light cone for d≥4
- Reproduction and generalization of parity conditions in higher dimensions
- Derivation of boundary conditions at null infinity for 3D theory

## Abstract

The asymptotic symmetry analysis of Maxwell theory at spatial infinity of Minkowski space with $d\geq 3$ is performed. We revisit the action principle in de Sitter slicing and make it well-defined by an asymptotic gauge fixing. In consequence, the conserved charges are inferred directly by manipulating surface terms of the action. Remarkably, the antipodal condition on de Sitter space is imposed by demanding regularity of field strength at light cone for $d\geq 4$. We also show how this condition reproduces and generalizes the parity conditions for inertial observers treated in 3+1 formulations. The expression of the charge for two limiting cases is discussed: Null infinity and inertial Minkowski observers. For the separately-treated 3d theory, a set of non-logarithmic boundary conditions at null infinity are derived by a large boost limit.