Hidden symmetry in the double copy

Ball, Adam; Bencke, Anna; Chen, Yaxi; Volovich, Anastasia

doi:10.1007/jhep10(2023)085

Title: Hidden symmetry in the double copy

Journal Article · 15 October 2023 · Journal of High Energy Physics (Online)

DOI: https://doi.org/10.1007/jhep10(2023)085 · OSTI ID:2339475

Ball, Adam ^[1]; Bencke, Anna ^[2]; Chen, Yaxi ^[2]; Volovich, Anastasia ^[2]

Brown Univ., Providence, RI (United States); BROWN UNIVERSITY
Brown Univ., Providence, RI (United States)

We show that the Killing tensor of the Kerr spacetime has an analogue in the $$\sqrt{Kerr}$$ gauge theory solution related to it by the classical double copy. This hidden symmetry of $$\sqrt{Kerr}$$ leads to an additional constant of motion for color-charged point particles moving in it, implying integrability of the equation of motion. These are the gauge theory counterparts to the Carter constant and the integrability of the geodesic equation in a Kerr background.

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Research Organization:: Brown Univ., Providence, RI (United States)

Sponsoring Organization:: USDOE Office of Science (SC), High Energy Physics (HEP)

Grant/Contract Number:: SC0010010

OSTI ID:: 2339475

Journal Information:: Journal of High Energy Physics (Online), Journal Name: Journal of High Energy Physics (Online) Journal Issue: 10 Vol. 2023; ISSN 1029-8479

Publisher:: Springer NatureCopyright Statement

Country of Publication:: United States

Language:: English

References (46)

Classical description of a particle interacting with a non-Abelian gauge field Balachandran, A. P.; Salomonson, Per; Skagerstam, Bo-Sture Physical Review D, Vol. 15, Issue 8 https://doi.org/10.1103/PhysRevD.15.2308	journal	April 1977
The classical double copy in maximally symmetric spacetimes González, Mariana Carrillo; Penco, Riccardo; Trodden, Mark Journal of High Energy Physics, Vol. 2018, Issue 4 https://doi.org/10.1007/JHEP04(2018)028	journal	April 2018
The hidden symmetry of higher dimensional Kerr–NUT–AdS spacetimes Kubiznák, David; Frolov, Valeri P. Classical and Quantum Gravity, Vol. 24, Issue 3 https://doi.org/10.1088/0264-9381/24/3/F01	journal	January 2007
Classical double copy: Kerr-Schild-Kundt metrics from Yang-Mills theory Gürses, Metin; Tekin, Bayram Physical Review D, Vol. 98, Issue 12 https://doi.org/10.1103/PhysRevD.98.126017	journal	December 2018
Exact solutions for the biadjoint scalar field White, C. D. Physics Letters B, Vol. 763 https://doi.org/10.1016/j.physletb.2016.10.052	journal	December 2016
Particle motion near high-spin black holes Kapec, Daniel; Lupsasca, Alexandru Classical and Quantum Gravity, Vol. 37, Issue 1 https://doi.org/10.1088/1361-6382/ab519e	journal	December 2019
Double copy of electric-magnetic duality Huang, Yu-tin; Kol, Uri; O’Connell, Donal Physical Review D, Vol. 102, Issue 4 https://doi.org/10.1103/PhysRevD.102.046005	journal	August 2020
The Newman-Penrose map and the classical double copy Elor, Gilly; Farnsworth, Kara; Graesser, Michael L. Journal of High Energy Physics, Vol. 2020, Issue 12 https://doi.org/10.1007/JHEP12(2020)121	journal	December 2020
Exact Solutions of Einstein's Field Equations Stephani, Hans; Kramer, Dietrich; MacCallum, Malcolm Cambridge University Press https://doi.org/10.1017/CBO9780511535185	book	January 2009
The classical double copy for Taub–NUT spacetime Luna, Andrés; Monteiro, Ricardo; O'Connell, Donal Physics Letters B, Vol. 750 https://doi.org/10.1016/j.physletb.2015.09.021	journal	November 2015
Covariant Hamiltonian dynamics van Holten, J. W. Physical Review D, Vol. 75, Issue 2 https://doi.org/10.1103/PhysRevD.75.025027	journal	January 2007
Type D spacetimes and the Weyl double copy Luna, Andrés; Monteiro, Ricardo; Nicholson, Isobel Classical and Quantum Gravity, Vol. 36, Issue 6 https://doi.org/10.1088/1361-6382/ab03e6	journal	February 2019
Isometries and the double copy Easson, Damien A.; Herczeg, Gabriel; Manton, Tucker Journal of High Energy Physics, Vol. 2023, Issue 9 https://doi.org/10.1007/JHEP09(2023)162	journal	September 2023
S-duality and the double copy Alawadhi, Rashid; Berman, David S.; Spence, Bill Journal of High Energy Physics, Vol. 2020, Issue 3 https://doi.org/10.1007/JHEP03(2020)059	journal	March 2020
Weyl doubling Alawadhi, Rashid; Berman, David S.; Spence, Bill Journal of High Energy Physics, Vol. 2020, Issue 9 https://doi.org/10.1007/JHEP09(2020)127	journal	September 2020
Kerr-Schild double copy and complex worldlines Bah, Ibrahima; Dempsey, Ross; Weck, Peter Journal of High Energy Physics, Vol. 2020, Issue 2 https://doi.org/10.1007/JHEP02(2020)180	journal	February 2020
From Navier-Stokes to Maxwell via Einstein Keeler, Cynthia; Manton, Tucker; Monga, Nikhil Journal of High Energy Physics, Vol. 2020, Issue 8 https://doi.org/10.1007/JHEP08(2020)147	journal	August 2020
Extended solutions for the biadjoint scalar field De Smet, Pieter-Jan; White, Chris D. Physics Letters B, Vol. 775 https://doi.org/10.1016/j.physletb.2017.11.007	journal	December 2017
On quadratic first integrals of the geodesic equations for type {22} spacetimes Walker, Martin; Penrose, Roger Communications in Mathematical Physics, Vol. 18, Issue 4 https://doi.org/10.1007/BF01649445	journal	December 1970
Double copy of the multipole expansion Chacón, Erick; Luna, Andrés; White, Chris D. Physical Review D, Vol. 106, Issue 8 https://doi.org/10.1103/PhysRevD.106.086020	journal	October 2022
Why is the Weyl double copy local in position space? Luna, Andres; Moynihan, Nathan; White, Chris D. Journal of High Energy Physics, Vol. 2022, Issue 12 https://doi.org/10.1007/JHEP12(2022)046	journal	December 2022
New relations for gauge-theory amplitudes Bern, Z.; Carrasco, J. J. M.; Johansson, H. Physical Review D, Vol. 78, Issue 8 https://doi.org/10.1103/PhysRevD.78.085011	journal	October 2008
Geodesics from classical double copy Gonzo, Riccardo; Shi, Canxin Physical Review D, Vol. 104, Issue 10 https://doi.org/10.1103/PhysRevD.104.105012	journal	November 2021
Electromagnetic field in higher-dimensional black-hole spacetimes Krtouš, Pavel Physical Review D, Vol. 76, Issue 8 https://doi.org/10.1103/PhysRevD.76.084035	journal	October 2007
The classical double copy in three spacetime dimensions González, Mariana Carrillo; Melcher, Brandon; Ratliff, Kenneth Journal of High Energy Physics, Vol. 2019, Issue 7 https://doi.org/10.1007/JHEP07(2019)167	journal	July 2019
Global Structure of the Kerr Family of Gravitational Fields Carter, Brandon Physical Review, Vol. 174, Issue 5 https://doi.org/10.1103/PhysRev.174.1559	journal	October 1968
Black holes, hidden symmetries, and complete integrability Frolov, Valeri P.; Krtouš, Pavel; Kubizňák, David Living Reviews in Relativity, Vol. 20, Issue 1 https://doi.org/10.1007/s41114-017-0009-9	journal	November 2017
Black holes and the double copy Monteiro, R.; O’Connell, D.; White, C. D. Journal of High Energy Physics, Vol. 2014, Issue 12 https://doi.org/10.1007/JHEP12(2014)056	journal	December 2014
The Kerr-Schild double copy in Lifshitz spacetime Alkaç, Gökhan; Gümüş, Mehmet Kemal; Tek, Mustafa Journal of High Energy Physics, Vol. 2021, Issue 5 https://doi.org/10.1007/JHEP05(2021)214	journal	May 2021
Perturbative Quantum Gravity as a Double Copy of Gauge Theory Bern, Zvi; Carrasco, John Joseph M.; Johansson, Henrik Physical Review Letters, Vol. 105, Issue 6 https://doi.org/10.1103/PhysRevLett.105.061602	journal	August 2010
Classical double copy of nonsingular black holes Easson, Damien A.; Keeler, Cynthia; Manton, Tucker Physical Review D, Vol. 102, Issue 8 https://doi.org/10.1103/PhysRevD.102.086015	journal	October 2020
Sources in the Weyl Double Copy Easson, Damien A.; Manton, Tucker; Svesko, Andrew Physical Review Letters, Vol. 127, Issue 27 https://doi.org/10.1103/PhysRevLett.127.271101	journal	December 2021
The self-dual classical double copy, and the Eguchi-Hanson instanton Berman, David S.; Chacón, Erick; Luna, Andrés Journal of High Energy Physics, Vol. 2019, Issue 1 https://doi.org/10.1007/JHEP01(2019)107	journal	January 2019
Screw-symmetric gravitational waves: A double copy of the vortex Ilderton, A. Physics Letters B, Vol. 782 https://doi.org/10.1016/j.physletb.2018.04.069	journal	July 2018
Static spherically symmetric Kerr-Schild metrics and implications for the classical double copy Ridgway, Alexander K.; Wise, Mark B. Physical Review D, Vol. 94, Issue 4 https://doi.org/10.1103/PhysRevD.94.044023	journal	August 2016
Aligned fields double copy to Kerr-NUT-(A)dS Chawla, Samarth; Keeler, Cynthia Journal of High Energy Physics, Vol. 2023, Issue 4 https://doi.org/10.1007/JHEP04(2023)005	journal	April 2023
Gravitational Field of a Spinning Mass as an Example of Algebraically Special Metrics Kerr, Roy P. Physical Review Letters, Vol. 11, Issue 5 https://doi.org/10.1103/PhysRevLett.11.237	journal	September 1963
Perturbative spacetimes from Yang-Mills theory Luna, Andrés; Monteiro, Ricardo; Nicholson, Isobel Journal of High Energy Physics, Vol. 2017, Issue 4 https://doi.org/10.1007/JHEP04(2017)069	journal	April 2017
Field and particle equations for the classical Yang-Mills field and particles with isotopic spin Wong, S. K. Il Nuovo Cimento A, Vol. 65, Issue 4 https://doi.org/10.1007/BF02892134	journal	February 1970
The double copy: Bremsstrahlung and accelerating black holes Luna, Andrés; Monteiro, Ricardo; Nicholson, Isobel Journal of High Energy Physics, Vol. 2016, Issue 6 https://doi.org/10.1007/JHEP06(2016)023	journal	June 2016
Einstein-Maxwell theory and the Weyl double copy Easson, Damien A.; Manton, Tucker; Svesko, Andrew Physical Review D, Vol. 107, Issue 4 https://doi.org/10.1103/PhysRevD.107.044063	journal	February 2023
Classical solutions and their double copy in split signature Monteiro, Ricardo; O’Connell, Donal; Veiga, David Peinador Journal of High Energy Physics, Vol. 2021, Issue 5 https://doi.org/10.1007/JHEP05(2021)268	journal	May 2021
The classical double copy of a point charge Kim, Kwangeon; Lee, Kanghoon; Monteiro, Ricardo Journal of High Energy Physics, Vol. 2020, Issue 2 https://doi.org/10.1007/JHEP02(2020)046	journal	February 2020
Gravity as the square of gauge theory Bern, Zvi; Dennen, Tristan; Huang, Yu-tin Physical Review D, Vol. 82, Issue 6 https://doi.org/10.1103/PhysRevD.82.065003	journal	September 2010
Lagrangian and Hamiltonian descriptions of Yang-Mills particles Balachandran, A. P.; Borchardt, S.; Stern, A. Physical Review D, Vol. 17, Issue 12 https://doi.org/10.1103/PhysRevD.17.3247	journal	June 1978
Classical double copy of spinning worldline quantum field theory Comberiati, Francesco; Shi, Canxin Journal of High Energy Physics, Vol. 2023, Issue 4 https://doi.org/10.1007/JHEP04(2023)008	journal	April 2023

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classical theories of gravity

Title: Hidden symmetry in the double copy

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