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 $\mathrm{Diff}(S^{2m})$. In order to show that, we propose suitable commutation relation among certain components of the metric fields. As a result, all $\mathrm{Diff}(S^{2m})$ transformations are symmetries of gravitational scattering.

• Received 14 January 2021
• Accepted 9 August 2021

DOI:https://doi.org/10.1103/PhysRevD.104.064010

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Published by the American Physical Society