Asymptotic symmetries and subleading soft graviton theorem in higher dimensions
Abstract
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(S2m). In order to show that, we propose suitable commutation relation among certain components of the metric fields. As a result, all Diff(S2m) transformations are symmetries of gravitational scattering.
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