Holographic Symmetry Algebras for Gauge Theory and Gravity

Abstract

All 4D gauge and gravitational theories in asymptotically flat spacetimes contain an infinite number of non-trivial symmetries. They can be succinctly characterized by generalized 2D currents acting on the celestial sphere. A complete classification of these symmetries and their algebras is an open problem. Here we construct two towers of such 2D currents from positive-helicity photons, gluons, or gravitons with integer conformal weights. These generate the symmetries associated to an infinite tower of conformally soft theorems. The current algebra commutators are explicitly derived from the poles in the OPE coefficients, and found to comprise a rich closed subalgebra of the complete symmetry algebra.

19 pages

References in corpus (63)

• On BMS Invariance of Gravitational Scattering
• BMS supertranslations and Weinberg's soft graviton theorem
• BMS charge algebra
• New Symmetries of Massless QED
• Semiclassical Virasoro Symmetry of the Quantum Gravity S-Matrix
• Asymptotic symmetries and subleading soft graviton theorem
• Flat Space Amplitudes and Conformal Symmetry of the Celestial Sphere
• Asymptotic Symmetries of Yang-Mills Theory
• A Conformal Basis for Flat Space Amplitudes
• Evidence for a New Soft Graviton Theorem
• Gluon Amplitudes as 2d Conformal Correlators
• New symmetries for the Gravitational S-matrix
• A 2D Stress Tensor for 4D Gravity
• Low's Subleading Soft Theorem as a Symmetry of QED
• A Stereoscopic Look into the Bulk
• 2D Kac-Moody Symmetry of 4D Yang-Mills Theory
• Conformally Soft Photons and Gravitons
• Infrared Divergences in QED, Revisited
• Conformally Soft Theorem in Gauge Theory
• Celestial amplitudes and conformal soft theorems
• Asymptotic Symmetries and Celestial CFT
• Symmetries of Celestial Amplitudes
• Generalized BMS charge algebra
• The Holographic Nature of Null Infinity
• Subleading soft photons and large gauge transformations
• Sub-subleading soft gravitons and large diffeomorphisms
• Celestial Amplitudes from UV to IR
• Magnetic Corrections to the Soft Photon Theorem
• Conformally Soft Theorem In Gravity
• Tree-level gluon amplitudes on the celestial sphere
• Strings on Celestial Sphere
• Soft Photon and Graviton Theorems in Effective Field Theory
• Asymptotic Symmetries and Electromagnetic Memory
• Null infinity, the BMS group and infrared issues
• Celestial Amplitudes: Conformal Partial Waves and Soft Limits
• Infinite Set of Soft Theorems in Gauge-Gravity Theories as Ward-Takahashi Identities
• Extended BMS Algebra of Celestial CFT
• New dual gravitational charges
• Asymptotic $U(1)$ charges at spatial infinity
• BMS Symmetry of Celestial OPE
• $(2,2)$ Scattering and the Celestial Torus
• MHV Graviton Scattering Amplitudes and Current Algebra on the Celestial Sphere
• Extended Super BMS Algebra of Celestial CFT
• Soft Factorization in QED from 2D Kac-Moody Symmetry
• BMS Supertranslation Symmetry Implies Faddeev-Kulish Amplitudes
• Uplifting AdS3/CFT2 to Flat Space Holography
• Double Copy for Celestial Amplitudes
• The Soft $\mathcal{S}$-Matrix in Gravity
• MHV Gluon Scattering Amplitudes from Celestial Current Algebras
• Infinite-Dimensional Fermionic Symmetry in Supersymmetric Gauge Theories
• Primary Fields in Celestial CFT
• Notes on Conformal Soft Theorems and Recursion Relations in Gravity
• Loops on the Celestial Sphere
• Celestial Current Algebra from Low's Subleading Soft Theorem
• Properties of Dual Supertranslation Charges in Asymptotically Flat Spacetimes
• Celestial double copy from the worldsheet
• Infinite Soft Theorems from Gauge Symmetry
• Asymptotic Symmetries and Subleading Soft Photon Theorem in Effective Field Theories
• On loop celestial amplitudes for gauge theory and gravity
• Descendants in celestial CFT and emergent multi-collinear factorization
• Asymptotic charges in massless QED revisited: A view from Spatial Infinity
• On Sugawara construction on Celestial Sphere
• Magnetic Soft Charges, Dual Supertranslations and 't Hooft Line Dressings

Cited by in corpus (74)

• Lectures on Celestial Amplitudes
• Carrollian Perspective on Celestial Holography
• Scattering Amplitudes: Celestial and Carrollian
• Bridging Carrollian and Celestial Holography
• Celestial Operator Product Expansions and ${\mathrm{w}}_{1+\infty }$ Symmetry for All Spins
• Celestial holography meets twisted holography: 4d amplitudes from chiral correlators
• Celestial Diamonds: Conformal Multiplets in Celestial CFT
• The partial Bondi gauge: Further enlarging the asymptotic structure of gravity
• The SAGEX Review on Scattering Amplitudes, Chapter 11: Soft Theorems and Celestial Amplitudes
• Conformal Block Expansion in Celestial CFT
• Top-down holography in an asymptotically flat spacetime
• BMS Flux Algebra in Celestial Holography
• Sub-subleading Soft Graviton Theorem from Asymptotic Einstein's Equations
• Gravity from symmetry: Duality and impulsive waves
• Lectures on Celestial Holography
• Celestial chiral algebras, colour-kinematics duality and integrability
• Celestial operator products from the worldsheet
• Celestial Amplitudes as AdS-Witten Diagrams
• On Effective Field Theories with Celestial Duals
• Holographic Chiral Algebra: Supersymmetry, Infinite Ward Identities, and EFTs
• Ambidextrous light transforms for celestial amplitudes
• Goldilocks Modes and the Three Scattering Bases
• From Moyal deformations to chiral higher-spin theories and to celestial algebras
• Celestial $w_{1+\infty }$ Symmetries from Twistor Space
• Celestial Dual Superconformal Symmetry, MHV Amplitudes and Differential Equations
• From Celestial Correlators to AdS, and back
• Black Holes in Klein Space
• Loop-level gluon OPEs in celestial holography
• Subsubleading soft graviton symmetry and MHV graviton scattering amplitudes
• Deforming Soft Algebras for Gauge Theory
• Soft Scalars and the Geometry of the Space of Celestial CFTs
• On the associativity of 1-loop corrections to the celestial operator product in gravity
• Metric reconstruction from celestial multipoles
• Four-point correlators of light-ray operators in CCFT
• Celestial Holography: Lectures on Asymptotic Symmetries
• A Comment on Loop Corrections to the Celestial Stress Tensor
• Higher-spin Yang-Mills, amplitudes and self-duality
• Celestial Locality and the Jacobi Identity
• All-order celestial OPE in the MHV sector
• Conformally Soft Fermions
• Revisiting the Shadow Stress Tensor in Celestial CFT
• Radiative phase space extensions at all orders in r for self-dual Yang-Mills and Gravity
• Quantizing the non-linear graviton
• Celestial Conformal Colliders
• (Chiral) Virasoro invariance of the tree-level MHV graviton scattering amplitudes
• Celestial Recursion
• Celestial amplitudes in an ambidextrous basis
• Supersymmetric celestial OPEs and soft algebras from the ambitwistor string worldsheet
• Toward A Supersymmetric $w_{1+\infty }$ Symmetry in the Celestial Conformal Field Theory
• Celestial Geometry
• Celestial insights into the S-matrix bootstrap
• Gravitational memory effects and higher derivative actions
• Chaos in Celestial CFT
• w(1+infinity) and the Celestial Sphere
• Integrable Field Theories and Their CCFT Duals
• Integrability ex machina
• Deformed $w_{1+\infty }$ Algebras in the Celestial CFT
• The $\mathcal{N}=2$ Supersymmetric $w_{1+\infty }$ Symmetry in the Two-Dimensional SYK Models
• $p$-Forms on the Celestial Sphere
• BMS${}_3$ Mechanics and the Black Hole Interior
• Celestial IR divergences and the effective action of supertranslation modes
• BMS Algebra, Double Soft Theorems, and All That
• Mapping SYK to the Sky
• The Structure of the $\mathcal{N}=4$ Supersymmetric Linear $W_{\infty }[\lambda ]$ Algebra
• Soft photon radiation and entanglement
• $\widehat{s{l}_2}$ symmetry of ${\mathbb{R}}^{1,3}$ gravity
• A Shorter Path to Celestial Currents
• Dynamical Edge Modes in Yang-Mills Theory
• Celestial OPE blocks
• Notes on self-dual gravity
• Charge algebra for non-abelian large gauge symmetries at $O(r)$
• A Note on the Analytic Structure of Celestial Amplitudes
• Asymptotic symmetries at null-infinity for the Rarita-Schwinger field with magnetic term
• Celestial Feynman Rules for Scalars