Abstract
We show that the Killing tensor of the Kerr spacetime has an analogue in the \( \sqrt{\textrm{Kerr}} \) gauge theory solution related to it by the classical double copy. This hidden symmetry of \( \sqrt{\textrm{Kerr}} \) 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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Acknowledgments
We are grateful to Tucker Manton and Marcus Spradlin for useful discussions, and to Cynthia Keeler for comments on the draft. This work was supported in part by the US Department of Energy under contract DE-SC0010010 Task F and by Simons Investigator Award #376208. Y. Chen was also supported by a Karen T. Romer Undergraduate Teaching and Research Award.
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Ball, A., Bencke, A., Chen, Y. et al. Hidden symmetry in the double copy. J. High Energ. Phys. 2023, 85 (2023). https://doi.org/10.1007/JHEP10(2023)085
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DOI: https://doi.org/10.1007/JHEP10(2023)085