A Twistorial Foundation for the Classical Double Copy

Abstract

The classical double copy relates exact solutions of gauge, gravity and other theories. Although widely studied, its origins and domain of applicability have remained mysterious. In this letter, we show that a particular incarnation - the Weyl double copy - can be derived using well-established ideas from twistor theory. As well as explaining where the Weyl double copy comes from, the twistor formalism also shows that it is more general than previously thought.

6 pages, no figures

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• Amplitudes, Observables, and Classical Scattering
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Cited by in corpus (57)

• The Weyl Double Copy for Gravitational Waves
• Classical Solutions and their Double Copy in Split Signature
• Shifting Spin on the Celestial Sphere
• Covariant Color-Kinematics Duality
• A double copy for asymptotic symmetries in the self-dual sector
• Sources in the Weyl double copy
• Off-Shell Color-Kinematics Duality for Chern-Simons
• Classical double copy at null infinity
• Classical Double Copy of Worldline Quantum Field Theory
• Asymptotic Weyl Double Copy
• Kerr-Schild Double Copy of the Coulomb Solution in Three Dimensions
• Einstein-Maxwell theory and the Weyl double copy
• The Off-Shell Recursion for Gravity and the Classical Double Copy for currents
• Alternative formulations of the twistor double copy
• Twistor Space Origins of the Newman-Penrose Map
• Amplitudes, Hopf algebras and the colour-kinematics duality
• The double copy of the multipole expansion
• Why is the Weyl double copy local in position space?
• Geodesics From Classical Double Copy
• Isometries and the double copy
• Non-perturbative aspects of the self-dual double copy
• The Weyl double copy in vacuum spacetimes with a cosmological constant
• The single copy of the gravitational holonomy
• Higher-derivative Heterotic Double Field Theory and Classical Double Copy
• Classical Double Copy of Spinning Worldline Quantum Field Theory
• Aligned Fields Double Copy to Kerr-NUT-(A)dS
• Double-Copying Self-Dual Yang-Mills Theory to Self-Dual Gravity on Twistor Space
• Kinematic Hopf algebra for amplitudes and form factors
• Weyl double copy and massless free fields in curved spacetimes
• Gauge $\times$ Gauge $=$ Gravity on Homogeneous Spaces using Tensor Convolutions
• Generalized Black Holes in 3D Kerr-Schild Double Copy
• The Classical Double Copy for Half-Maximal Supergravities and T-duality
• Black Hole Horizons from the Double Copy
• Tree-Level Color-Kinematics Duality Implies Loop-Level Color-Kinematics Duality up to Counterterms
• Manifest colour-kinematics duality and double-copy in the string-based formalism
• Planar solutions of higher-spin theory. Nonlinear corrections
• Regularized Weyl double copy
• A spinorial double copy for $\mathcal{N}=0$ supergravity
• Classical double copy and higher-spin fields
• Note on the asymptotic structure of Kerr-Schild form
• Planar solutions of higher-spin theory I: free field level
• Asymptotic Weyl double copy in Newman-Penrose formalism
• The double copy: from optics to quantum gravity
• Compactifying the Kerr-Schild Double Copy
• Next-to-MHV Yang-Mills kinematic algebra
• Weyl double copy in type D spacetime in four and five dimensions
• Twistor action for general relativity
• New framework for classical double copies
• Five dimensional Weyl double copy
• The Weyl double copy from twistor space
• Slowly rotating charges from Weyl double copy for Kerr black hole with Chern-Simons correction
• Massive Covariant Colour-Kinematics in 3D
• Untwisting the double copy: the zeroth copy as an optical seed
• The Kerr-Schild Double Copy in Lifshitz Spacetime
• Graviton Photoproduction by a Kerr-Newman Black Hole with Worldline EFT
• NS-NS Spacetimes from Amplitudes
• Cotton Double Copy for Gravitational Waves