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Coadjoint representation of the BMS group on celestial Riemann surfaces

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arxiv 2103.11253 v2 pith:JQTRB3BV submitted 2021-03-20 gr-qc hep-th

classification gr-qchep-th
keywords coadjointgrouprepresentationalgebraasymptoticallybasescelestialchoices
verification ladder T0 review T1 audit T2 compute T3 formal
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The coadjoint representation of the BMS group in four dimensions is constructed in a formulation that covers both the sphere and the punctured plane. The structure constants are worked out for different choices of bases. The conserved current algebra of non-radiative asymptotically flat spacetimes is explicitly interpreted in these terms.

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Cited by 5 Pith papers

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

  1. On Carrollian and Celestial Correlators in General Dimensions

    hep-th 2025-08 conditional novelty 6.0 of 10

    Explicit two-, three-, and four-point Carrollian and celestial amplitudes for massless scalars in D dimensions, connected to the flat/Carrollian limit of AdS/CFT correlators.

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    A boosted Schwarzschild black hole has temperature T_H=(8πMγ)^{-1}, chemical potentials μ^i=-v^i, entropy S=4πP^aP_a, and first law dS=8πM u_a dP^a.

  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. GGI lectures on boundary and asymptotic symmetries

    hep-th 2025-12 conditional novelty 4.0 of 10

    A lecture-note review of boundary and asymptotic symmetries that re-derives the BMS group as the asymptotic symmetry group of Minkowski spacetime alone and constructs an integral Hamiltonian generator for scalar-field...

  5. Lectures on Carrollian Holography

    hep-th 2025-11 conditional novelty 3.0 of 10

    Massless scattering amplitudes, including gravitons, can be recast as correlators of a carrollian conformal field theory on null infinity, but the non-perturbative bootstrap program remains incomplete.

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