Generalized BMS charge algebra

Abstract

It has been argued that the symmetries of gravity at null infinity should include a Diff$(S^2)$ factor associated to diffeomorphisms on the celestial sphere. However, the standard phase space of gravity does not support the action of such transformations. Building on earlier work by Laddha and one of the authors, we present an extension of the phase space of gravity at null infinity on which Diff$(S^2)$ acts canonically. The Poisson brackets of supertranslation and Diff$(S^2)$ charges reproduce the generalized BMS algebra introduced in arXiv:1408.2228 .

arXiv comment30 pages. Corrected paragraph after Eq. (1.9) and second to last paragraph in discussion section. Submitted to PRD

References in corpus (46)

• On BMS Invariance of Gravitational Scattering
• Aspects of the BMS/CFT correspondence
• BMS supertranslations and Weinberg's soft graviton theorem
• Symmetries of asymptotically flat 4 dimensional spacetimes at null infinity revisited
• BMS charge algebra
• Semiclassical Virasoro Symmetry of the Quantum Gravity S-Matrix
• Asymptotic symmetries and subleading soft graviton theorem
• Superrotation Charge and Supertranslation Hair on Black Holes
• New Gravitational Memories
• Evidence for a New Soft Graviton Theorem
• Conserved charges of the extended Bondi-Metzner-Sachs algebra
• New symmetries for the Gravitational S-matrix
• A 2D Stress Tensor for 4D Gravity
• Superboost transitions, refraction memory and super-Lorentz charge algebra
• Classical and Quantum Results on Logarithmic Terms in the Soft Theorem in Four Dimensions
• Symmetries and charges of general relativity at null boundaries
• Higher-Dimensional Supertranslations and Weinberg's Soft Graviton Theorem
• Sub-subleading soft gravitons and large diffeomorphisms
• Spin memory effect for compact binaries in the post-Newtonian approximation
• BMS Group at Spatial Infinity: the Hamiltonian (ADM) approach
• Logarithmic Terms in the Soft Expansion in Four Dimensions
• Sub-subleading soft gravitons: New symmetries of quantum gravity?
• Null infinity, the BMS group and infrared issues
• Center-of-mass angular momentum and memory effect in asymptotically flat spacetimes
• Observational Signature of the Logarithmic Terms in the Soft Graviton Theorem
• Sub-subleading Soft Graviton Theorem in Generic Theories of Quantum Gravity
• Classical static final state of collapse with supertranslation memory
• Gravitational Memory in Higher Dimensions
• BMS invariance and the membrane paradigm
• A $d$-Dimensional Stress Tensor for Mink${}_{d+2}$ Gravity
• Subleading Soft Theorem for Multiple Soft Gravitons
• Properties of Dual Supertranslation Charges in Asymptotically Flat Spacetimes
• Dual gravitational charges and soft theorems
• Light-ray Operators and the BMS Algebra
• Extensions of the asymptotic symmetry algebra of general relativity
• Near-horizon BMS symmetries as fluid symmetries
• Double-soft graviton amplitudes and the extended BMS charge algebra
• Asymptotic Renormalization in Flat Space: Symplectic Potential and Charges of Electromagnetism
• Double Soft Theorem for Perturbative Gravity
• Implications of Superrotations
• The Conformal BMS Group
• Supertranslations in Higher Dimensions Revisited
• Double Soft Graviton Theorems and BMS Symmetries
• Cosmic footballs from superrotations
• Note on the symplectic structure of asymptotically flat gravity and BMS symmetries
• Regge-Teitelboim analysis of the symmetries of electromagnetic and gravitational fields on asymptotically null spacelike surfaces

Cited by in corpus (63)

• Carrollian Perspective on Celestial Holography
• Holographic Symmetry Algebras for Gauge Theory and Gravity
• Bridging Carrollian and Celestial Holography
• The $\Lambda$-BMS${}_4$ Charge Algebra
• The Weyl BMS group and Einstein's equations
• Asymptotic Symmetries and Celestial CFT
• Embeddings and Integrable Charges for Extended Corner Symmetry
• Gravitational Edge Modes, Coadjoint Orbits, and Hydrodynamics
• MHV Graviton Scattering Amplitudes and Current Algebra on the Celestial Sphere
• The partial Bondi gauge: Further enlarging the asymptotic structure of gravity
• Carrollian Approach to $1+3$D Flat Holography
• BMS Flux Algebra in Celestial Holography
• A double copy for asymptotic symmetries in the self-dual sector
• Sub-subleading Soft Graviton Theorem from Asymptotic Einstein's Equations
• MHV Gluon Scattering Amplitudes from Celestial Current Algebras
• Loop-corrected subleading soft theorem and the celestial stress-tensor
• Charge Algebra in Al(A)dS${}_n$ Spacetimes
• Coadjoint representation of the BMS group on celestial Riemann surfaces
• Universal Corner Symmetry and the Orbit Method for Gravity
• Multipole Expansion of Gravitational Waves: from Harmonic to Bondi coordinates
• Hamiltonian derivation of dual gravitational charges
• On asymptotic symmetries in higher dimensions for any spin
• Symmetries at Causal Boundaries in 2D and 3D Gravity
• The Effective Action of Superrotation Modes
• The Wald-Zoupas prescription for asymptotic charges at null infinity in general relativity
• General null asymptotics and superrotation-compatible configuration spaces in $d\ge 4$
• Wald-Zoupas prescription with (soft) anomalies
• The partial Bondi gauge: Gauge fixings and asymptotic charges
• Charge and Antipodal Matching across Spatial Infinity
• Metric reconstruction from celestial multipoles
• Celestial Holography: Lectures on Asymptotic Symmetries
• A Comment on Loop Corrections to the Celestial Stress Tensor
• Radiative phase space extensions at all orders in r for self-dual Yang-Mills and Gravity
• Symmetries of the gravitational scattering in the absence of peeling
• Quantum Null Geometry and Gravity
• Renormalization of conformal infinity as a stretched horizon
• (Chiral) Virasoro invariance of the tree-level MHV graviton scattering amplitudes
• Logarithmic Celestial Conformal Field Theory
• Celestial $w_{1+\infty }$ charges and the subleading structure of asymptotically-flat spacetimes
• Memory effects from holonomies
• Null Infinity and Horizons: A New Approach to Fluxes and Charges
• On the Various Extensions of the BMS Group
• Asymptotic Higher Spin Symmetries I: Covariant Wedge Algebra in Gravity
• Corner symmetry and quantum geometry
• Generalized BMS algebra in higher even dimensions
• Generalized BMS Algebra at Timelike Infinity
• A General Hierarchy of Charges at Null Infinity via the Todd Polynomials
• Fully nonlinear transformations of the Weyl-Bondi-Metzner-Sachs asymptotic symmetry group
• Asymptotic Limit of Null Hypersurfaces
• BMS Algebra, Double Soft Theorems, and All That
• Conserved asymptotic charges for any massless particle
• On the covariant formulation of gauge theories with boundaries
• $\widehat{s{l}_2}$ symmetry of ${\mathbb{R}}^{1,3}$ gravity
• Celestial $s{w}_{1+\infty }$ algebra in Einstein-Yang-Mills theory
• A Shorter Path to Celestial Currents
• Field-dependent diffeomorphisms and the transformation of surface charges between gauges
• Finite actions and asymptotic charges at null infinity for any spin
• On the Definition of the Spin Charge in Asymptotically-Flat Spacetimes
• 1/c deformations of AdS${}_3$ boundary conditions and the Dym hierarchy
• Asymptotic Higher Spin Symmetries II: Noether Realization in Gravity
• Charge algebra for non-abelian large gauge symmetries at $O(r)$
• Asymptotic Higher Spin Symmetries IV: Einstein-Yang-Mills Theory
• Shaving off soft hairs and the black hole image memory effect