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Amplitudes from Coulomb to Kerr-Taub-NUT

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arxiv 2010.07861 v2 pith:BGIHLOFG submitted 2020-10-15 hep-th gr-qc

William T. Emond , Yu-tin Huang , Uri Kol , Nathan Moynihan , Donal O'Connell This is my paper · ORCID
classification hep-thgr-qc
keywords amplitudeskerr-taub-nutsolutionsclassicalcopycoulombdoubleduality
verification ladder T0 review T1 audit T2 compute T3 formal
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Electric-magnetic duality, the Newman-Janis shift, and the double copy all act by elementary operations on three-point amplitudes. At the same time, they generate a network of interesting classical solutions spanning from the Coulomb charge via the dyon to the Kerr-Taub-NUT spacetime. We identify the amplitudes corresponding to each of these solutions, working to all orders in spin, but to leading perturbative order. We confirm that the amplitudes double-copy when the solutions are related by the classical double copy. Along the way we show that the Kerr-Taub-NUT solution corresponds to a gravitational electric-magnetic duality rotation acting on the Kerr solution, again to all orders in spin, and demonstrate that the asymptotic charges also transform simply under our operations.

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Cited by 6 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. 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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