{
  "id": "2307.01338",
  "version": "v1",
  "published": "2023-07-03T20:21:24.000Z",
  "updated": "2023-07-03T20:21:24.000Z",
  "title": "Hidden Symmetry in the Double Copy",
  "authors": [
    "Adam Ball",
    "Anna Bencke",
    "Yaxi Chen",
    "Anastasia Volovich"
  ],
  "comment": "12 pages",
  "categories": [
    "hep-th"
  ],
  "abstract": "We show that the Killing tensor of the Kerr spacetime has an analogue in the $\\sqrt{\\rm Kerr}$ gauge theory solution related to it by the classical double copy. This hidden symmetry of $\\sqrt{\\rm Kerr}$ 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.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2023-07-03T20:21:24.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "hidden symmetry",
      "double copy",
      "gauge theory solution",
      "gauge theory counterparts",
      "kerr spacetime"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 12,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}