Double-soft graviton amplitudes and the extended BMS charge algebra

Abstract

We discuss how scattering amplitudes in 4d Minkowski spacetime which involve multiple soft gravitons realize the algebra of BMS charges on the null boundary. In particular, we show how the commutator of two such charges is realized by the antisymmetrized consecutive soft limit of the double soft amplitude. The commutator is found to be robust even in the presence of quantum corrections, and the associated Lie algebra has an extension, which breaks the BMS symmetry if the BMS algebra is taken to include the Virasoro algebra of local superrotations. We discuss the implications of this structure for the existence of a 2d CFT dual description for 4d scattering amplitudes.

arXiv comment74 pages, no figures

References in corpus (39)

• Some Properties of Noether Charge and a Proposal for Dynamical Black Hole Entropy
• Soft Hair on Black Holes
• On BMS Invariance of Gravitational Scattering
• Covariant theory of asymptotic symmetries, conservation laws and central charges
• BMS supertranslations and Weinberg's soft graviton theorem
• What is the Simplest Quantum Field Theory?
• BMS charge algebra
• New Symmetries of Massless QED
• Semiclassical Virasoro Symmetry of the Quantum Gravity S-Matrix
• Asymptotic symmetries and subleading soft graviton theorem
• The BMS/GCA correspondence
• Asymptotic Symmetries of Yang-Mills Theory
• Supertranslations and Superrotations at the Black Hole Horizon
• BMS/GCA Redux: Towards Flatspace Holography from Non-Relativistic Symmetries
• New symmetries for the Gravitational S-matrix
• A 2D Stress Tensor for 4D Gravity
• Low's Subleading Soft Theorem as a Symmetry of QED
• 4D Scattering Amplitudes and Asymptotic Symmetries from 2D CFT
• Low-Energy Behavior of Gluons and Gravitons from Gauge Invariance
• 2D Kac-Moody Symmetry of 4D Yang-Mills Theory
• Extended Symmetries at the Black Hole Horizon
• An Infinite Set of Ward Identities for Adiabatic Modes in Cosmology
• Shaving off Black Hole Soft Hair
• Constraining subleading soft gluon and graviton theorems
• Subleading soft photons and large gauge transformations
• Graviton Physics
• Exploring the holographic principle in asymptotically flat spacetimes via the BMS group
• Rigorous steps towards holography in asymptotically flat spacetimes
• Loop-Corrected Virasoro Symmetry of 4D Quantum Gravity
• Asymptotic symmetries of gravity and soft theorems for massive particles
• Noether's Second Theorem and Ward Identities for Gauge Symmetries
• Holography in asymptotically flat space-times and the BMS group
• A short review on Noether's theorems, gauge symmetries and boundary terms
• Superrotations and Black Hole Pair Creation
• Centrally extended BMS4 Lie algebroid
• Soft-Pion Theorems for Large Scale Structure
• Near-horizon BMS symmetries as fluid symmetries
• Multiple Soft Limits of Cosmological Correlation Functions
• Double Soft Limits of Cosmological Correlations

Cited by in corpus (25)

• The $\Lambda$-BMS${}_4$ Charge Algebra
• Asymptotic Symmetries and Celestial CFT
• Generalized BMS charge algebra
• The Holographic Nature of Null Infinity
• The Poincaré and BMS flux-balance laws with application to binary systems
• Celestial holography meets twisted holography: 4d amplitudes from chiral correlators
• Extended BMS Algebra of Celestial CFT
• BMS Symmetry of Celestial OPE
• Carrollian Approach to $1+3$D Flat Holography
• The SAGEX Review on Scattering Amplitudes, Chapter 11: Soft Theorems and Celestial Amplitudes
• BMS Flux Algebra in Celestial Holography
• Primary Fields in Celestial CFT
• Coadjoint representation of the BMS group on celestial Riemann surfaces
• Multipole Expansion of Gravitational Waves: from Harmonic to Bondi coordinates
• On Sugawara construction on Celestial Sphere
• Asymptotic Renormalization in Flat Space: Symplectic Potential and Charges of Electromagnetism
• Celestial Holography: Lectures on Asymptotic Symmetries
• Celestial Locality and the Jacobi Identity
• Revisiting the Shadow Stress Tensor in Celestial CFT
• Cosmic branes and asymptotic structure
• $T\bar{T}$ deformed soft theorem
• Next-to-eikonal corrected double graviton dressing and gravitational wave observables at $\mathcal{O}(G^2)$
• Charge algebra for non-abelian large gauge symmetries at $O(r)$
• Double soft graviton factors from the gravitational Wilson line
• Double-soft limit and celestial shadow OPE from charge bracket