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Symmetries at Null Boundaries: Two and Three Dimensional Gravity Cases

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arxiv 2007.12759 v2 pith:SSZWTVEU submitted 2020-07-24 hep-th gr-qc

H. Adami , M.M. Sheikh-Jabbari , V. Taghiloo , H. Yavartanoo , C. Zwikel This is my paper · ORCID
classification hep-thgr-qc
keywords nullsurfacealgebrachargessymmetrytherethreeboundary
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We carry out in full generality and without fixing specific boundary conditions, the symmetry and charge analysis near a generic null surface for two and three dimensional (2d and 3d) gravity theories. In 2d and 3d there are respectively two and three charges which are generic functions over the codimension one null surface. The integrability of charges and their algebra depend on the state-dependence of symmetry generators which is a priori not specified. We establish the existence of infinitely many choices that render the surface charges integrable. We show that there is a choice, the "fundamental basis", where the null boundary symmetry algebra is the Heisenberg+Diff(d-2) algebra. We expect this result to be true for d>3 when there is no Bondi news through the null surface.

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Cited by 4 Pith papers

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

  1. S-algebra in Gauge Theory: Twistor, Spacetime and Holographic Perspectives

    hep-th 2025-06 conditional novelty 7.0 of 10

    The celestial S-algebra is shown to unify the twistor, null-infinity, and twisted-holography descriptions of self-dual Yang-Mills, with new two-helicity charges and a nonlinear extrapolate dictionary.

  2. An Inconsistency in the Null Strings Literature: The Tale of an Overlooked Symmetry

    hep-th 2026-05 unverdicted novelty 6.0 of 10

    The paper claims a new local symmetry of null strings forces a third constraint, giving D−3 physical degrees of freedom.

  3. Dynamical Entropy Is a Noether Charge

    hep-th 2026-07 reject novelty 5.0 of 10

    A Noether-charge derivation of the known HWZ dynamical entropy for generic null surfaces, whose local second-law proof is invalid as printed because Eq. (19) has the wrong sign in K.

  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.

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