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.

25 pages Latex file

References in corpus (13)

• Conformal Carroll groups and BMS symmetry
• Notes on the BMS group in three dimensions: II. Coadjoint representation
• Perturbative gravity at null infinity
• Gravitational Edge Modes, Coadjoint Orbits, and Hydrodynamics
• Geometric actions for three-dimensional gravity
• Superrotations and Black Hole Pair Creation
• BMS Flux Algebra in Celestial Holography
• Loop-corrected subleading soft theorem and the celestial stress-tensor
• Gravity from symmetry: Duality and impulsive waves
• Coadjoint representation of the BMS group on celestial Riemann surfaces
• Hamiltonian derivation of dual gravitational charges
• The Effective Action of Superrotation Modes
• Holographic boundary actions in AdS${}_3$/CFT${}_2$ revisited

Cited by in corpus (12)

• Bridging Carrollian and Celestial Holography
• 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
• Radiative Asymptotic Symmetries of 3D Einstein-Maxwell Theory
• Fully nonlinear transformations of the Weyl-Bondi-Metzner-Sachs asymptotic symmetry group
• 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
• Character of the highest weight module of BMS algebra realized on codimensional-two boundary