Extended BMS Algebra of Celestial CFT

Abstract

We elaborate on the proposal of flat holography in which four-dimensional physics is encoded in two-dimensional celestial conformal field theory (CCFT). The symmetry underlying CCFT is the extended BMS symmetry of (asymptotically) flat spacetime. We use soft and collinear theorems of Einstein-Yang-Mills theory to derive the OPEs of BMS field operators generating superrotations and supertranslations. The energy-momentum tensor, given by a shadow transform of a soft graviton operator, implements superrotations in the Virasoro subalgebra of $\mathfrak{bm}{\mathfrak{s}}_4$. Supertranslations can be obtained from a single translation generator along the light-cone direction by commuting it with the energy-momentum tensor. This operator also originates from a soft graviton and generates a flow of conformal dimensions. All supertranslations can be assembled into a single primary conformal field operator on celestial sphere.

25 pages

References in corpus (5)

• Gluon Amplitudes as 2d Conformal Correlators
• 4D Scattering Amplitudes and Asymptotic Symmetries from 2D CFT
• Symmetries of Celestial Amplitudes
• Soft Limits of Yang-Mills Amplitudes and Conformal Correlators
• Poincaré Constraints on Celestial Amplitudes

Cited by in corpus (65)

• Lectures on Celestial Amplitudes
• Carrollian Perspective on Celestial Holography
• Holographic Symmetry Algebras for Gauge Theory and Gravity
• Scattering Amplitudes: Celestial and Carrollian
• Bridging Carrollian and Celestial Holography
• Asymptotic Symmetries and Celestial CFT
• The Holographic Nature of Null Infinity
• Celestial Operator Product Expansions and ${\mathrm{w}}_{1+\infty }$ Symmetry for All Spins
• MHV Graviton Scattering Amplitudes and Current Algebra on the Celestial Sphere
• Extended Super BMS Algebra of Celestial CFT
• Celestial Diamonds: Conformal Multiplets in Celestial CFT
• The partial Bondi gauge: Further enlarging the asymptotic structure of gravity
• Carrollian Approach to $1+3$D Flat Holography
• Double Copy for Celestial Amplitudes
• The SAGEX Review on Scattering Amplitudes, Chapter 11: Soft Theorems and Celestial Amplitudes
• Conformal Block Expansion in Celestial CFT
• Shifting Spin on the Celestial Sphere
• Revisiting the Conformally Soft Sector with Celestial Diamonds
• BMS Flux Algebra in Celestial Holography
• MHV Gluon Scattering Amplitudes from Celestial Current Algebras
• Conformal Blocks from Celestial Gluon Amplitudes
• Charge Algebra in Al(A)dS${}_n$ Spacetimes
• Loops on the Celestial Sphere
• State-Operator Correspondence in Celestial Conformal Field Theory
• Coadjoint representation of the BMS group on celestial Riemann surfaces
• Goldilocks Modes and the Three Scattering Bases
• Ambidextrous light transforms for celestial amplitudes
• Celestial double copy from the worldsheet
• On loop celestial amplitudes for gauge theory and gravity
• Relativistic partial waves for celestial amplitudes
• Celestial Dual Superconformal Symmetry, MHV Amplitudes and Differential Equations
• Descendants in celestial CFT and emergent multi-collinear factorization
• Geometric action for extended Bondi-Metzner-Sachs group in four dimensions
• From Celestial Correlators to AdS, and back
• The partial Bondi gauge: Gauge fixings and asymptotic charges
• One-Loop Quantum Effects in Carroll Scalars
• Massive Spinning Bosons on the Celestial Sphere
• The structure of IR divergences in celestial gluon amplitudes
• Revisiting the Shadow Stress Tensor in Celestial CFT
• Conformally Soft Fermions
• Notes on Resonances and Unitarity from Celestial Amplitudes
• Celestial amplitudes in an ambidextrous basis
• Celestial Recursion
• Logarithmic Celestial Conformal Field Theory
• Symmetries in Celestial CFT${}_d$
• Detector Operators for Celestial Symmetries
• Dual diffeomorphisms and finite distance asymptotic symmetries in 3d gravity
• Asymptotic symmetries in spatially flat FRW
• The Grassmannian for Celestial Superamplitudes
• Supersymmetrization of deformed BMS algebras
• $T\bar{T}$ deformed soft theorem
• $p$-Forms on the Celestial Sphere
• Soft and Collinear Limits in $\mathcal{N}=8$ Supergravity using Double Copy Formalism
• BMS${}_3$ Mechanics and the Black Hole Interior
• Asymptotic Symmetry of Four Dimensional Einstein-Yang-Mills and Einstein-Maxwell Theory
• Celestial IR divergences and the effective action of supertranslation modes
• Multiparticle Contributions to the Celestial OPE
• A Shorter Path to Celestial Currents
• Entanglement Rényi entropies in celestial holography
• Celestial Eikonal Amplitudes in the Near-Horizon Region
• Loop corrections versus marginal deformation in celestial holography
• Celestial Quantum Error Correction II: From Qudits to Celestial CFT
• Double-soft limit and celestial shadow OPE from charge bracket
• Character of the highest weight module of BMS algebra realized on codimensional-two boundary
• Carrollian superconformal theories and super BMS