High Energy Physics - Theory
[Submitted on 30 Nov 2021 (v1), last revised 6 Jan 2022 (this version, v2)]
Title:Sub-subleading Soft Graviton Theorem from Asymptotic Einstein's Equations
View PDFAbstract:We identify in Einstein gravity an asymptotic spin-$2$ charge aspect whose conservation equation gives rise, after quantization, to the sub-subleading soft theorem. Our treatment reveals that this spin-$2$ charge generates a non-local spacetime symmetry represented at null infinity by pseudo-vector fields. Moreover, we demonstrate that the non-linear nature of Einstein's equations is reflected in the Ward identity through collinear corrections to the sub-subleading soft theorem. Our analysis also provides a unified treatment of the universal soft theorems as conservation equations for the spin-0,-1,-2 canonical generators, while highlighting the important role played by the dual mass.
Submission history
From: Daniele Pranzetti [view email][v1] Tue, 30 Nov 2021 17:57:14 UTC (39 KB)
[v2] Thu, 6 Jan 2022 14:07:58 UTC (39 KB)
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