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$(S^{2m})$. 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.

18 pages, 1 figure; v2 added references; v3 extended sec.3, added appendix, published version; v4 added note and references

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• Celestial Holography: Lectures on Asymptotic Symmetries
• Renormalization of conformal infinity as a stretched horizon
• Lorentz Symmetry and IR Structure of The BFSS Matrix Model
• Asymptotic symmetries in spatially flat FRW
• Generalized BMS algebra in higher even dimensions
• Finite actions and asymptotic charges at null infinity for any spin
• Asymptotic symmetries and soft theorems in higher-dimensional gravity
• All near-horizon symmetries of the Schwarzschild black hole in linearised gravity