Asymptotic Symmetries and Weinbergs Soft Photon Theorem in Mink$_{d+2}$

We show that Weinbergs 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 Weinbergs leading soft theorem and asymptotic symmetries from four and higher even dimensions to emph{all} higher dimensions.