State-Operator Correspondence in Celestial Conformal Field Theory

Abstract

The bulk-to-boundary dictionary for 4D celestial holography is given a new entry defining 2D boundary states living on oriented circles on the celestial sphere. The states are constructed using the 2D CFT state-operator correspondence from operator insertions corresponding to either incoming or outgoing particles which cross the celestial sphere inside the circle. The BPZ construction is applied to give an inner product on such states whose associated bulk adjoints are shown to involve a shadow transform. Scattering amplitudes are then given by BPZ inner products between states living on the same circle but with opposite orientations. 2D boundary states are found to encode the same information as their 4D bulk counterparts, but organized in a radically different manner.

arXiv comment13 pages, 2 figures

References in corpus (24)

• Large N Field Theories, String Theory and Gravity
• Conformal Vacua and Entropy in de Sitter Space
• Projectors, Shadows, and Conformal Blocks
• Semiclassical Virasoro Symmetry of the Quantum Gravity S-Matrix
• Flat Space Amplitudes and Conformal Symmetry of the Celestial Sphere
• A Conformal Basis for Flat Space Amplitudes
• The scattering matrix approach for the quantum black hole, an overview
• Flat Holography: Aspects of the dual field theory
• A 2D Stress Tensor for 4D Gravity
• 4D Scattering Amplitudes and Asymptotic Symmetries from 2D CFT
• 2D Kac-Moody Symmetry of 4D Yang-Mills Theory
• Conformally Soft Photons and Gravitons
• Asymptotic Symmetries and Celestial CFT
• Conformal Blocks for Arbitrary Spins in Two Dimensions
• Extended BMS Algebra of Celestial CFT
• State/Operator Correspondence in Higher-Spin dS/CFT
• $(2,2)$ Scattering and the Celestial Torus
• Extended Super BMS Algebra of Celestial CFT
• Conformal Blocks from Celestial Gluon Amplitudes
• Primary Fields in Celestial CFT
• S-matrix singularities and CFT correlation functions
• Conformal Primary Basis for Dirac Spinors
• Massive Celestial Fermions
• Quasinormal Quantization in deSitter Spacetime

Cited by in corpus (25)

• Bridging Carrollian and Celestial Holography
• Celestial Operator Product Expansions and ${\mathrm{w}}_{1+\infty }$ Symmetry for All Spins
• The SAGEX Review on Scattering Amplitudes, Chapter 11: Soft Theorems and Celestial Amplitudes
• Revisiting the Conformally Soft Sector with Celestial Diamonds
• Celestial holography on Kerr-Schild backgrounds
• Goldilocks Modes and the Three Scattering Bases
• Ambidextrous light transforms for celestial amplitudes
• Celestial Dual Superconformal Symmetry, MHV Amplitudes and Differential Equations
• Conformal Blocks from Celestial Gluon Amplitudes II: Single-valued Correlators
• Black Holes in Klein Space
• Soft Scalars and the Geometry of the Space of Celestial CFTs
• Celestial amplitudes in an ambidextrous basis
• Celestial Recursion
• Chaos in Celestial CFT
• All-order celestial OPE from on-shell recursion
• Exactly Solvable Floquet Dynamics for Conformal Field Theories in Dimensions Greater than Two
• Missing Corner in the Sky: Massless Three-Point Celestial Amplitudes
• Light transformed gluon correlators in CCFT
• Celestial Klein Spaces
• Multiparticle Contributions to the Celestial OPE
• QNM orthogonality relations for AdS black holes
• 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