Coadjoint representation of the BMS group on celestial Riemann surfaces

Abstract

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.

45 pages Latex file, minimal cosmetic changes in version 2

References in corpus (17)

• Asymptotic symmetries and subleading soft graviton theorem
• Conformal Carroll groups and BMS symmetry
• 4D Scattering Amplitudes and Asymptotic Symmetries from 2D CFT
• Conformal Carroll groups
• Notes on the BMS group in three dimensions: I. Induced representations
• Symmetries of Celestial Amplitudes
• Notes on the BMS group in three dimensions: II. Coadjoint representation
• Perturbative gravity at null infinity
• MHV Graviton Scattering Amplitudes and Current Algebra on the Celestial Sphere
• Geometric actions for three-dimensional gravity
• Loops on the Celestial Sphere
• Extensions of the asymptotic symmetry algebra of general relativity
• The Effective Action of Superrotation Modes
• Null infinity as an open Hamiltonian system
• BMS4 Algebra, Its Stability and Deformations
• Holographic positive energy theorems in three-dimensional gravity
• Quantum BMS transformations in conformally flat space-times and holography

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• BMS Flux Algebra in Celestial Holography
• Sub-subleading Soft Graviton Theorem from Asymptotic Einstein's Equations
• Loop-corrected subleading soft theorem and the celestial stress-tensor
• Gravity from symmetry: Duality and impulsive waves
• A general framework for gravitational charges and holographic renormalization
• Carrollian manifolds and null infinity: A view from Cartan geometry
• Geometric action for extended Bondi-Metzner-Sachs group in four dimensions
• A Comment on Loop Corrections to the Celestial Stress Tensor
• The structure of IR divergences in celestial gluon amplitudes
• Matrix Quantization of Gravitational Edge Modes
• Revisiting the Shadow Stress Tensor in Celestial CFT
• Note on the asymptotic structure of Kerr-Schild form
• Gravitational $SL(2,\mathbb{R})$ Algebra on the Light Cone
• Asymptotic Higher Spin Symmetries I: Covariant Wedge Algebra in Gravity
• Radiative Asymptotic Symmetries of 3D Einstein-Maxwell Theory
• $T\bar{T}$ deformed soft theorem
• Asymptotic Weyl double copy in Newman-Penrose formalism
• Fully nonlinear transformations of the Weyl-Bondi-Metzner-Sachs asymptotic symmetry group
• Note on electromagnetic memories
• Twisting asymptotic symmetries and algebraically special vacuum solutions
• Diffeomorphisms as quadratic charges in 4d BF theory and related TQFTs
• On the Definition of the Spin Charge in Asymptotically-Flat Spacetimes
• Asymptotic Higher Spin Symmetries III: Noether Realization in Yang-Mills Theory
• Notes on self-dual gravity
• Loop corrections versus marginal deformation in celestial holography
• Asymptotic Higher Spin Symmetries II: Noether Realization in Gravity
• Character of the highest weight module of BMS algebra realized on codimensional-two boundary