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Geometric action for extended Bondi-Metzner-Sachs group in four dimensions

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arxiv 2211.07592 v1 pith:BL3ZJE3N submitted 2022-11-14 hep-th gr-qc

Glenn Barnich , Kevin Nguyen , Romain Ruzziconi This is my paper · ORCID
classification hep-thgr-qc
keywords extendeddimensionsactionalgebrabondi-metzner-sachsfourgeometricgroup
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abstract

The constrained Hamiltonian analysis of geometric actions is worked out before applying the construction to the extended Bondi-Metzner-Sachs group in four dimensions. For any Hamiltonian associated with an extended BMS$_4$ generator, this action provides a field theory in two plus one spacetime dimensions whose Poisson bracket algebra of Noether charges realizes the extended BMS$_4$ Lie algebra. The Poisson structure of the model includes the classical version of the operator product expansions that have appeared in the context of celestial holography. Furthermore, the model reproduces the evolution equations of non-radiative asymptotically flat spacetimes at null infinity.

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Cited by 4 Pith papers

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    A group-theoretic classification of planon dynamics shows that massless Galilei orbits describe planar-restricted particles, with dipoles arising from a mixed Carroll-Galilei symmetry.

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  3. 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...

  4. Lectures on Carrollian Holography

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    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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