Celestial Regge theory

Abstract

Exploiting the analytic properties of scattering amplitudes, we provide an alternative but equivalent definition of the standard Mellin transform used to obtain celestial correlation functions. From this representation, we identify a celestial dispersion relation that relates the reduced correlation function to the poles and discontinuities of the bulk amplitude, and we present a novel expansion for the celestial correlator from an integral transform of the Froissart-Gribov expansion on the bulk. By drawing an analogy with the standard CFT case, we define the celestial Regge limit and identify the relevant celestial CFT data in terms of the partial amplitudes governing the bulk Regge limit.

arXiv comment48 pages, 7 figures; v2: 51 pages, 9 figures and minor changes

References in corpus (25)

• M Theory As A Matrix Model: A Conjecture
• BMS supertranslations and Weinberg's soft graviton theorem
• Analyticity in Spin in Conformal Theories
• New Symmetries of Massless QED
• Projectors, Shadows, and Conformal Blocks
• Semiclassical Virasoro Symmetry of the Quantum Gravity S-Matrix
• Flat Space Amplitudes and Conformal Symmetry of the Celestial Sphere
• Conformal Regge theory
• A Conformal Basis for Flat Space Amplitudes
• Light-ray operators in conformal field theory
• Radial Coordinates for Conformal Blocks
• Gluon Amplitudes as 2d Conformal Correlators
• A 2D Stress Tensor for 4D Gravity
• Celestial Amplitudes from UV to IR
• Diagonal Limit for Conformal Blocks in d Dimensions
• Celestial Amplitudes: Conformal Partial Waves and Soft Limits
• Conformal Basis, Optical Theorem, and the Bulk Point Singularity
• Top-down holography in an asymptotically flat spacetime
• Eikonal amplitudes from curved backgrounds
• Relativistic partial waves for celestial amplitudes
• Conformal Blocks from Celestial Gluon Amplitudes II: Single-valued Correlators
• Four-point correlators of light-ray operators in CCFT
• Bulk locality from the celestial amplitude
• Celestial amplitudes in an ambidextrous basis
• Regge OPE blocks and light-ray operators