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.

arXiv comment45 pages Latex file, minimal cosmetic changes in version 2

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Cited by in corpus (32)

• Bridging Carrollian and Celestial Holography
• The Weyl BMS group and Einstein's equations
• Isolated Surfaces and Symmetries of Gravity
• Celestial Diamonds: Conformal Multiplets in Celestial CFT
• Revisiting the Conformally Soft Sector with Celestial Diamonds
• BMS Flux Algebra in Celestial Holography
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• The structure of IR divergences in celestial gluon amplitudes
• Matrix Quantization of Gravitational Edge Modes
• Revisiting the Shadow Stress Tensor in Celestial CFT
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• Radiative Asymptotic Symmetries of 3D Einstein-Maxwell Theory
• $T\bar{T}$ deformed soft theorem
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• Note on electromagnetic memories
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• 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