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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

The Weyl double copy from twistor space

classification hep-th gr-qchep-ph
keywords copydoubleweylproceduretwistorfieldsgeneralgravity
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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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 6 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score.

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

    hep-th 2026-07 conditional novelty 7.0

    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. Untwisting the double copy: the zeroth copy as an optical seed

    hep-th 2026-04 unverdicted novelty 7.0

    A single complex optical seed built from expansion and twist organizes stationary Kerr-Schild geometries, reconstructs the congruence, and encodes the zeroth-copy data that generates both the gravitational profile and...

  3. Non-topological solitons in biadjoint scalar field theory

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  4. The Penrose Transform and the Kerr-Schild double copy

    hep-th 2025-11 unverdicted novelty 6.0

    The Kerr-Schild and twistorial double copies are equivalent for self-dual vacuum Kerr-Schild spacetimes.

  5. Hawking Radiation meets the Double Copy

    hep-th 2025-10 unverdicted novelty 6.0

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

    hep-th 2025-08 accept novelty 6.0

    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.