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Generalized BMS charge algebra

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arxiv 2002.06691 v2 pith:6YXEFFCD submitted 2020-02-16 gr-qc hep-th

Miguel Campiglia , Javier Peraza This is my paper · ORCID
classification gr-qchep-th
keywords diffgravityalgebrageneralizedinfinitynullphasespace
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abstract

It has been argued that the symmetries of gravity at null infinity should include a Diff$(S^2)$ factor associated to diffeomorphisms on the celestial sphere. However, the standard phase space of gravity does not support the action of such transformations. Building on earlier work by Laddha and one of the authors, we present an extension of the phase space of gravity at null infinity on which Diff$(S^2)$ acts canonically. The Poisson brackets of supertranslation and Diff$(S^2)$ charges reproduce the generalized BMS algebra introduced in arXiv:1408.2228 .

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Cited by 5 Pith papers

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  3. Field-dependent diffeomorphisms and the transformation of surface charges between gauges

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    The Weyl charge in (A)dS3 gravity is kinematical: it can be toggled on or off by a field-dependent diffeomorphism between Bondi-Sachs and Fefferman-Graham gauges.

  4. Supertranslations in the bulk of spacetime

    hep-th 2025-12 conditional novelty 5.0 of 10

    Supertranslations can be defined in the bulk as changes of null hypersurfaces, extending boundary symmetries into the interior and producing a curvature-dependent memory effect in Schwarzschild.

  5. GGI lectures on boundary and asymptotic symmetries

    hep-th 2025-12 conditional novelty 4.0 of 10

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