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Weyl double copy in type D spacetime in four and five dimensions

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arxiv 2411.04774 v2 pith:NZY543CK submitted 2024-11-07 hep-th gr-qc

classification hep-thgr-qc
keywords scalartypeweylbackgroundcopycurveddimensionsdouble
verification ladder T0 review T1 audit T2 compute T3 formal

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In this paper, we present a second realization of the Weyl double copy (WDC) in four-dimensional algebraic type D spacetime. We show that any type D vacuum solution admits an algebraically general Maxwell scalar on the curved background that squares to give the Weyl scalar. The WDC relation defines a scalar field that satisfies the Klein-Gordon equation sourced by the Weyl scalar on the curved background. We then extend the type D WDC to five dimensions.

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  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 of 10

    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.

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