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Asymptotic symmetry algebra of Einstein gravity and Lorentz generators

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arxiv 2305.05436 v2 pith:66LOQQK3 submitted 2023-05-09 hep-th gr-qc

Oscar Fuentealba , Marc Henneaux , Cédric Troessaert This is my paper · ORCID
classification hep-thgr-qc
keywords algebrageneratorslorentzasymptoticbeeneinsteingravityrecently
verification ladder T0 review T1 audit T2 compute T3 formal

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The asymptotic symmetry algebra of four-dimensional Einstein gravity in the asymptotically flat context has been shown recently to be the direct sum of the Poincar\'e algebra and of an infinite-dimensional abelian algebra (with central charge) that includes the Bondi-Metzner-Sachs supertranslations. This result, obtained within the Hamiltonian formalism, yields a supertranslation invariant definition of the Lorentz generators (angular momentum and boosts). Definitions of Lorentz generators free from the ``supertranslation ambiguities'' have also been proposed recently at null infinity. We prove the equivalence of the two approaches for redefining the charges.

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Cited by 6 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Wheeler-DeWitt equation and Bondi-Metzner-Sachs (BMS) symmetry

    hep-th 2025-06 conditional novelty 6.0 of 10

    BRST-invariant extensions of the BMS generators are constructed and used to define matrix elements between Wheeler-DeWitt states.

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

    hep-th 2024-12 conditional novelty 6.0 of 10

    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.

  3. Dressed States Call for Logarithmic Asymptotic Symmetries

    hep-th 2026-07 conditional novelty 5.0 of 10

    Dressed particles with soft-boson clouds are irreducible unitary representations of asymptotic symmetry groups only after adding logarithmic 'dual' symmetries, which supply the needed Heisenberg central extension.

  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. Logarithmic matching between past infinity and future infinity: The massless scalar field

    gr-qc 2024-12 accept novelty 5.0 of 10

    Massless scalar fields with dominant logarithmic terms at null infinity obey an antipodal matching condition with a minus sign, opposite to the standard no-log matching.

  6. ADM, BMS, and some puzzling interconnections

    gr-qc 2025-05 conditional novelty 4.0 of 10

    A perspective paper on ADM/BMS interconnections that separates radiative and static angular-momentum loss, and uses an explicit O(G) example to show antipodal energy matching at i0 is not actual energy flow.

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