Double Copy for Celestial Amplitudes

Abstract

Celestial amplitudes which use conformal primary wavefunctions rather than plane waves as external states offer a novel opportunity to study properties of amplitudes with manifest conformal covariance and give insight into a potential holographic celestial CFT at the null boundary of asymptotically flat space. Since translation invariance is obscured in the conformal basis, features of amplitudes that heavily rely on it appear to be lost. Among these are the remarkable relations between gauge theory and gravity amplitudes known as the double copy. Nevertheless, properties of amplitudes reflecting fundamental aspects of the perturbative regime of quantum field theory are expected to survive a change of basis. Here we show that there exists a well-defined procedure for a celestial double copy. This requires a generalization of the usual squaring of numerators which entails first promoting them to generalized differential operators acting on external wavefunctions, and then squaring them. We demonstrate this procedure for three and four point celestial amplitudes, and give an argument for its validity to all multiplicities.

6 pages; v3: version accepted in PRL

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Cited by in corpus (46)

• Lectures on Celestial Amplitudes
• Holographic Symmetry Algebras for Gauge Theory and Gravity
• Celestial Amplitudes from UV to IR
• On duality of color and kinematics in (A)dS momentum space
• The SAGEX Review on Scattering Amplitudes, Chapter 11: Soft Theorems and Celestial Amplitudes
• Shifting Spin on the Celestial Sphere
• A double copy for asymptotic symmetries in the self-dual sector
• MHV Gluon Scattering Amplitudes from Celestial Current Algebras
• Charge Algebra in Al(A)dS${}_n$ Spacetimes
• Off-Shell Color-Kinematics Duality for Chern-Simons
• Lectures on Celestial Holography
• Celestial chiral algebras, colour-kinematics duality and integrability
• Loops on the Celestial Sphere
• Celestial double copy from the worldsheet
• New heavenly double copies
• Asymptotic Weyl Double Copy
• From Moyal deformations to chiral higher-spin theories and to celestial algebras
• Relativistic partial waves for celestial amplitudes
• Celestial Dual Superconformal Symmetry, MHV Amplitudes and Differential Equations
• Descendants in celestial CFT and emergent multi-collinear factorization
• Asymptotic dynamics on the worldline for spinning particles
• From Celestial Correlators to AdS, and back
• Towards Color-Kinematics Duality in Generic Spacetimes
• Subsubleading soft graviton symmetry and MHV graviton scattering amplitudes
• Geodesics From Classical Double Copy
• Celestial superamplitude in $\mathcal{N}=4$ SYM theory
• The Classical Double Copy for M-theory from a Kerr-Schild Ansatz for Exceptional Field Theory
• Higher-derivative Heterotic Double Field Theory and Classical Double Copy
• The structure of IR divergences in celestial gluon amplitudes
• Conformally Soft Fermions
• Soft Gravity by Squaring Soft QED on the Celestial Sphere
• Radiative phase space extensions at all orders in r for self-dual Yang-Mills and Gravity
• (Chiral) Virasoro invariance of the tree-level MHV graviton scattering amplitudes
• The classical double copy in curved spacetimes: Perturbative Yang-Mills from the bi-adjoint scalar
• Towards the Gravituhedron: New Expressions for NMHV Gravity Amplitudes
• The Holographic Soft $S$-Matrix in QED and Gravity
• One-loop multicollinear limits from 2-point amplitudes on self-dual backgrounds
• $p$-Forms on the Celestial Sphere
• Zwanziger's pairwise little group on the celestial sphere
• Gauge and Gravity Amplitudes on the Celestial Sphere
• BCJ Amplitude Relations for Anti-de Sitter Boundary Correlators in Embedding Space
• The Weyl double copy from twistor space
• Massive Covariant Colour-Kinematics in 3D
• Loop corrections versus marginal deformation in celestial holography
• The Kerr-Schild Double Copy in Lifshitz Spacetime
• Holographic Representations of Supertranslation Eigenstates