{
  "id": "2307.11063",
  "version": "v1",
  "published": "2023-07-20T17:43:30.000Z",
  "updated": "2023-07-20T17:43:30.000Z",
  "title": "Self-Dual Fields on Self-Dual Backgrounds and the Double Copy",
  "authors": [
    "Graham R. Brown",
    "Joshua Gowdy",
    "Bill Spence"
  ],
  "comment": "23 pages",
  "categories": [
    "hep-th",
    "gr-qc"
  ],
  "abstract": "We explore the double copy for self-dual gauge and gravitational fields on self-dual background spacetimes. We consider backgrounds associated to solutions of the second Plebanski equation and describe results with different gauge-fixing conditions. Finally we discuss the kinematic and $w$-algebras and the double copy, identifying modified Poisson structures and kinematic structure constants in the presence of the self-dual background. The self-dual plane wave and Eguchi-Hanson spacetimes are studied as examples and their respective $w$-algebras derived.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2023-07-20T17:43:30.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "double copy",
      "self-dual fields",
      "second plebanski equation",
      "self-dual background spacetimes",
      "kinematic structure constants"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 23,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}