Amplitudes from Coulomb to Kerr-Taub-NUT

William T. Emond, Yu-tin Huang, Uri Kol, Nathan Moynihan*, Donal O'Connell

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review


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.
Original languageEnglish
Article number55
Pages (from-to)1-43
Number of pages43
JournalJournal of High Energy Physics
Issue number5
Publication statusPublished - 10 May 2022


  • hep-th
  • gr-qc


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