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

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