Asymptotic symmetries and Weinberg's soft photon theorem in Mink_d+2

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 ^± of (d + 2)-dimensional Minkowski spacetime. These symmetries are parameterized by an arbitrary function ε(x) of the d-dimensional celestial sphere living at ^±. This extends the previously established equivalence between Weinberg's leading soft theorem and asymptotic symmetries from four and higher even dimensions to all higher dimensions.