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The Weyl double copy from twistor space

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arxiv 2103.16441 v1 pith:BIRLECTF submitted 2021-03-30 hep-th gr-qchep-ph

Erick Chacón , Silvia Nagy , Chris D. White This is my paper · ORCID
classification hep-thgr-qchep-ph
keywords copydoubleweylproceduretwistorfieldsgeneralgravity
verification ladder T0 review T1 audit T2 compute T3 formal
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The Weyl double copy is a procedure for relating exact solutions in biadjoint scalar, gauge and gravity theories, and relates fields in spacetime directly. Where this procedure comes from, and how general it is, have until recently remained mysterious. In this paper, we show how the current form and scope of the Weyl double copy can be derived from a certain procedure in twistor space. The new formalism shows that the Weyl double copy is more general than previously thought, applying in particular to gravity solutions with arbitrary Petrov types. We comment on how to obtain anti-self-dual as well as self-dual fields, and clarify some conceptual issues in the twistor approach.

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Cited by 5 Pith papers

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  1. Mass/electric versus NUT/magnetic charges: duality from scattering amplitudes in $D\geq4$ and for all bosonic spins

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    Kerr-NUT mass/electric and equal-NUT/magnetic charges are dual in D≥4, realized as J_σ ↔ J_−σ in 3-point amplitudes generated by a spin-raising operator for all bosonic spins.

  2. Gleaning gravitational amplitudes -- a double copy for canceling dilatons

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    An asymmetric double copy with a ghost-like sqrt-dilaton cancels dilaton contaminations in tree-level GR amplitudes with massive scalars up to six points, leaving a residual bubble ambiguity at one loop.

  3. Spin versus Magic: Lessons from Gluon and Graviton Scattering

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    For 2 to 2 scattering of massless spin-1/2 to spin-2 particles, the averaged generated magic decreases monotonically with spin, with maxima well below the two-qubit upper bound.

  4. Off-shell double copy theories in BV

    hep-th 2025-06 conditional novelty 6.0 of 10

    A BV-formalism construction gives off-shell double-copy actions for Chern-Simons, BF, and 2D Yang-Mills theories, with Kodaira-Spencer and Kähler gravity as natural examples.

  5. Time-dependent solutions of biadjoint scalar field theories

    hep-th 2025-02 accept novelty 6.0 of 10

    New plane-wave-type exact solutions of generalized biadjoint scalar field theory are constructed, including bounded profiles, using elliptic, tanh, and rational functions.

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