Primary Fields in Celestial CFT

Abstract

The basic ingredient of CCFT holography is to regard four-dimensional amplitudes describing conformal wave packets as two-dimensional conformal correlation functions of the operators associated to external particles. By construction, these operators transform as quasi-primary fields under SL(2,C) conformal symmetry group of the celestial sphere. We derive the OPE of the CCFT energy-momentum tensor with the operators representing gauge bosons and show that they transform as Virasoro primaries under diffeomorphisms of the celestial sphere.

9 pages. v2: replaced to match JHEP

References in corpus (7)

• 4D Scattering Amplitudes and Asymptotic Symmetries from 2D CFT
• Conformally Soft Photons and Gravitons
• Celestial amplitudes and conformal soft theorems
• Symmetries of Celestial Amplitudes
• New Relations for Einstein-Yang-Mills Amplitudes
• Double-soft graviton amplitudes and the extended BMS charge algebra
• Implications of Superrotations

Cited by in corpus (50)

• Lectures on Celestial Amplitudes
• Carrollian Perspective on Celestial Holography
• Holographic Symmetry Algebras for Gauge Theory and Gravity
• Bridging Carrollian and Celestial Holography
• The Holographic Nature of Null Infinity
• Celestial Operator Product Expansions and ${\mathrm{w}}_{1+\infty }$ Symmetry for All Spins
• Extended BMS Algebra of Celestial CFT
• BMS Symmetry of Celestial OPE
• 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
• Carrollian Approach to $1+3$D Flat Holography
• 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
• Loops on the Celestial Sphere
• State-Operator Correspondence in Celestial Conformal Field Theory
• Holographic Chiral Algebra: Supersymmetry, Infinite Ward Identities, and EFTs
• Coadjoint representation of the BMS group on celestial Riemann surfaces
• Goldilocks Modes and the Three Scattering Bases
• Celestial double copy from the worldsheet
• On loop celestial amplitudes for gauge theory and gravity
• Conformal Primary Basis for Dirac Spinors
• Non-abelian infrared divergences on the celestial sphere
• Relativistic partial waves for celestial amplitudes
• Descendants in celestial CFT and emergent multi-collinear factorization
• On Sugawara construction on Celestial Sphere
• Subsubleading soft graviton symmetry and MHV graviton scattering amplitudes
• Massive Spinning Bosons on the Celestial Sphere
• The structure of IR divergences in celestial gluon amplitudes
• On Galilean conformal bootstrap
• Shadow Celestial Amplitude
• (Chiral) Virasoro invariance of the tree-level MHV graviton scattering amplitudes
• Notes on Resonances and Unitarity from Celestial Amplitudes
• Celestial Recursion
• Celestial amplitudes in an ambidextrous basis
• Logarithmic Celestial Conformal Field Theory
• Poincaré Constraints on Celestial Amplitudes
• Missing Corner in the Sky: Massless Three-Point Celestial Amplitudes
• Asymptotic Symmetry of Four Dimensional Einstein-Yang-Mills and Einstein-Maxwell Theory
• Celestial IR divergences and the effective action of supertranslation modes
• A Shorter Path to Celestial Currents
• Loop corrections versus marginal deformation in celestial holography
• Double-soft limit and celestial shadow OPE from charge bracket
• A Celestial Description of Planar Super-Yang-Mills Theory
• $sl(2,\mathds{C})\times D$ symmetry and conformal primary basis for massless fields