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

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.

arXiv comment25 pages Latex file

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Cited by in corpus (12)

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• Carroll/fracton particles and their correspondence
• Manifestly Covariant Worldline Actions from Coadjoint Orbits. Part I: Generalities and Vectorial Descriptions
• Circuit Complexity for Carrollian Conformal (BMS) Field Theories
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• On the nature of Bondi-Metzner-Sachs transformations
• Galilei particles revisited
• 1/c deformations of AdS${}_3$ boundary conditions and the Dym hierarchy
• Planons and their Carroll-Galilei symmetries
• Conformal Galilean Spin-3 Gravity in 3d
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