# Asymptotic Symmetries and Weinberg's Soft Photon Theorem in Mink$_{d+2}$

## TL;DR

This paper demonstrates that Weinberg's soft photon theorem in massless abelian gauge theories implies an infinite-dimensional symmetry group acting on null boundaries in any higher-dimensional Minkowski spacetime, extending known results beyond four dimensions.

## Contribution

It generalizes the equivalence between soft photon theorems and asymptotic symmetries to all higher dimensions, revealing a universal structure.

## Key findings

- Infinite-dimensional large gauge symmetries exist in all higher dimensions.
- Soft photon theorem implies non-trivial boundary symmetries.
- Extension of known four-dimensional results to all higher dimensions.

## Abstract

We show that Weinberg's leading soft photon theorem in massless abelian gauge theories implies the existence of an infinite-dimensional large gauge symmetry which acts non-trivially on the null boundaries ${\mathscr I}^\pm$ of $(d+2)$-dimensional Minkowski spacetime. These symmetries are parameterized by an arbitrary function $\varepsilon(x)$ of the $d$-dimensional celestial sphere living at ${\mathscr I}^\pm$. This extends the previously established equivalence between Weinberg's leading soft theorem and asymptotic symmetries from four and higher even dimensions to \emph{all} higher dimensions.