Celestial holography on Kerr-Schild backgrounds

Abstract

We explore the celestial holography proposal for non-trivial asymptotically flat backgrounds including the Coulomb field of a static and spinning point charge, their gravitational counterparts described by the Schwarzschild and Kerr metrics, as well as the Aichelburg-Sexl shockwave and spinning shockwave geometries and their electromagnetic cousins. We compute celestial two-point amplitudes on these Kerr-Schild type backgrounds which have the desirable feature, due to the presence of an external source, that they are non-vanishing for general operator positions and are not constrained by the kinematic delta functions of flat space celestial CFT correlators. Of particular interest is the case of shockwave backgrounds where the two-point scattering amplitude of massless scalars can be interpreted as a standard CFT three-point correlator between two massless asymptotic states and a conformal primary shockwave operator. We furthermore show that the boundary on-shell action for general backgrounds becomes the generating functional for tree-level correlation functions in celestial CFT. Finally, we derive (conformal) Faddeev-Kulish dressings for particle-like backgrounds which remove all infrared divergent terms in the two-point functions to all orders in perturbation theory.

arXiv comment45 pages + references, 3 figures

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• Deforming Soft Algebras for Gauge Theory
• Aligned Fields Double Copy to Kerr-NUT-(A)dS
• Celestial Leaf Amplitudes
• Celestial Supersymmetry
• Integrable Field Theories and Their CCFT Duals
• Wave scattering event shapes at high energies
• $p$-Forms on the Celestial Sphere
• Spectral representation in Klein space: simplifying celestial leaf amplitudes
• Celestial Gluon Amplitudes from the Outside In
• The Sky Remembers everything: Celestial amplitude, Shadow and OPE in quadratic EFT of gravity
• Celestial Eikonal Amplitudes in the Near-Horizon Region
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• Flat Holography & Holographic Renormalization: Scalar Field