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Loop-corrected subleading soft theorem and the celestial stress-tensor

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arxiv 2205.11477 v3 pith:DVDK3KZT submitted 2022-05-23 hep-th gr-qc

classification hep-thgr-qc
keywords softadditioncelestialfluxesfollowsgravitationalhardone-loop
verification ladder T0 review T1 audit T2 compute T3 formal
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abstract

We demonstrate that the one-loop exact subleading soft graviton theorem automatically follows from conservation of the BMS charges, provided that the hard and soft fluxes separately represent the extended BMS algebra at null infinity. This confirms that superrotations are genuine symmetries of the gravitational $\mathcal{S}$-matrix beyond the semiclassical regime. In contrast with a previous proposal, the celestial stress-tensor accounting for the one-loop corrections follows from the gravitational phase space analysis and does not require the addition of divergent counterterms. In addition, we show that the symplectic form on the radiative phase space factorises into hard and soft sectors, and that the resulting canonical generators precisely coincide with the correct BMS fluxes.

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Cited by 10 Pith papers

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