Asymptotic Symmetries And The Subleading Soft Graviton Theorem In Higher Dimensions

We investigate the relation between the subleading soft graviton theorem and asymptotic symmetries in gravity in even dimensions d = 2 + 2m higher than four. After rewriting the subleading soft graviton theorem as a Ward identity, we argue that the charges of such identity generate Diff (S-2m). In order to show that, we propose suitable commutation relation among certain components of the metric fields. As a result, all Diff(S-2m) transformations are symmetries of gravitational scattering.