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The Double Copy of Electric-Magnetic Duality

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arxiv 1911.06318 v2 pith:Y2FROY5Q submitted 2019-11-14 hep-th gr-qchep-ph

Yu-tin Huang , Uri Kol , Donal O'Connell This is my paper · ORCID
classification hep-thgr-qchep-ph
keywords complexsupertranslationtransformationcopydoubledualityelectric-magneticphase
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We argue that the complex transformation relating the Schwarzschild to the Taub-NUT metric, introduced by Talbot, is in fact an electric-magnetic duality transformation. We show that at null infinity, the complex transformation is equivalent to a complexified BMS supertranslation, which rotates the supertranslation and the dual (magnetic) supertranslation charges. This can also be seen from the cubic coupling between the classical source and its background, which for Taub-NUT is given by a complex phase rotation acting on gravitational minimal couplings. The same phase rotation generates dyons from electrons at the level of minimally coupled amplitudes, manifesting the double copy relation between the two solutions.

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Cited by 7 Pith papers

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

  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.

  2. Memory effect from the scattering of Taub-NUT black holes

    hep-th 2026-03 conditional novelty 7.0 of 10

    Soft theorems yield a gauge-invariant nutty soft factor and the associated memory tensor for Kerr-Taub-NUT scattering, with magnetic components and directional divergences absent in electromagnetism.

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

    hep-th 2025-01 conditional novelty 7.0 of 10

    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.

  4. Newman-Janis Algorithm from Taub-NUT Instantons

    gr-qc 2024-12 conditional novelty 7.0 of 10

    The Kerr metric is shown to be the exact nonlinear superposition of two Taub-NUT instantons of opposite chirality, explaining the Newman-Janis algorithm.

  5. 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.

  6. 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.

  7. An Exact Black Hole Scattering Amplitude

    hep-th 2024-12 conditional novelty 6.0 of 10

    For the self-dual black hole (NUT charge equal to mass), perihelion precession vanishes to all orders in G, and the exact quantum amplitude is the Fourier transform of the exponentiated classical eikonal phase.

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