Amplitudes from Coulomb to Kerr-Taub-NUT

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

doi:10.1007/JHEP05(2022)055

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

School of Physics and Astronomy

Research output: Contribution to journal › Article › peer-review

Abstract

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 language	English
Article number	55
Pages (from-to)	1-43
Number of pages	43
Journal	Journal of High Energy Physics
Volume	2022
Issue number	5
DOIs	https://doi.org/10.1007/JHEP05(2022)055
Publication status	Published - 10 May 2022

Keywords / Materials (for Non-textual outputs)

Black Holes
Classical Theories of Gravity
Scattering Amplitudes

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10.1007/JHEP05(2022)055Licence: Creative Commons: Attribution (CC-BY)

kerrtaubnutAccepted author manuscript, 1.46 MB
2010.07861v2

Particle Theory at the Higgs Centre
Ball, R. (Principal Investigator), Boyle, P. (Co-investigator), Del Debbio, L. (Co-investigator), Gardi, E. (Co-investigator), Horsley, R. (Co-investigator), Kennedy, A. (Co-investigator), O'Connell, D. (Co-investigator), Smillie, J. (Co-investigator) & Zwicky, R. (Co-investigator)
STFC
1/10/17 → 30/09/21
Project: Research

Cite this

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title = "Amplitudes from Coulomb to Kerr-Taub-NUT",

abstract = " 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. ",

keywords = "Black Holes, Classical Theories of Gravity, Scattering Amplitudes",

author = "Emond, {William T.} and Yu-tin Huang and Uri Kol and Nathan Moynihan and Donal O'Connell",

note = "35 pages + appendices, 2 figures. Mathematica notebook attached. Gold OA - SCOAP3 Journal. Publisher Copyright: {\textcopyright} 2022, The Author(s).",

year = "2022",

month = may,

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doi = "10.1007/JHEP05(2022)055",

language = "English",

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journal = "Journal of High Energy Physics",

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T1 - Amplitudes from Coulomb to Kerr-Taub-NUT

AU - Emond, William T.

AU - Huang, Yu-tin

AU - Kol, Uri

AU - Moynihan, Nathan

AU - O'Connell, Donal

PY - 2022/5/10

Y1 - 2022/5/10

N2 - 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.

AB - 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.

KW - Black Holes

KW - Classical Theories of Gravity

KW - Scattering Amplitudes

U2 - 10.1007/JHEP05(2022)055

DO - 10.1007/JHEP05(2022)055

M3 - Article

SN - 1126-6708

VL - 2022

SP - 1

EP - 43

JO - Journal of High Energy Physics

JF - Journal of High Energy Physics

IS - 5

M1 - 55

ER -

Amplitudes from Coulomb to Kerr-Taub-NUT

Abstract

Keywords / Materials (for Non-textual outputs)

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Particle Theory at the Higgs Centre

Cite this