BMS Flux Algebra in Celestial Holography

Abstract

Starting from gravity in asymptotically flat spacetime, the BMS momentum fluxes are constructed. These are non-local expressions of the solution space living on the celestial Riemann surface. They transform in the coadjoint representation of the extended BMS group and correspond to Virasoro primaries under the action of bulk superrotations. The relation between the BMS momentum fluxes and celestial CFT operators is then established: the supermomentum flux is related to the supertranslation operator and the super angular momentum flux is linked to the stress-energy tensor of the celestial CFT. The transformation under the action of asymptotic symmetries and the OPEs of the celestial CFT currents are deduced from the BMS flux algebra.

30 pages, v2: added references

References in corpus (9)

• Asymptotic symmetries and subleading soft graviton theorem
• Evidence for a New Soft Graviton Theorem
• New symmetries for the Gravitational S-matrix
• Gluon Amplitudes as 2d Conformal Correlators
• 4D Scattering Amplitudes and Asymptotic Symmetries from 2D CFT
• Entanglement Entropy, Trace Anomalies and Holography
• Extensions of the asymptotic symmetry algebra of general relativity
• BMS charges in polyhomogeneous spacetimes
• On the Various Extensions of the BMS Group

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• Bridging Carrollian and Celestial Holography
• The partial Bondi gauge: Further enlarging the asymptotic structure of gravity
• Sub-subleading Soft Graviton Theorem from Asymptotic Einstein's Equations
• Loop-corrected subleading soft theorem and the celestial stress-tensor
• Goldilocks Modes and the Three Scattering Bases
• Geometric action for extended Bondi-Metzner-Sachs group in four dimensions
• Charge and Antipodal Matching across Spatial Infinity
• A Comment on Loop Corrections to the Celestial Stress Tensor
• Revisiting the Shadow Stress Tensor in Celestial CFT
• Celestial Conformal Colliders
• $T\bar{T}$ deformed soft theorem
• Celestial Klein Spaces
• A Shorter Path to Celestial Currents
• Entanglement Rényi entropies in celestial holography