{
  "id": "2203.15744",
  "version": "v1",
  "published": "2022-03-29T16:52:43.000Z",
  "updated": "2022-03-29T16:52:43.000Z",
  "title": "The $\\boldsymbol{L_{\\infty}}$-structure of noncommutative gravity",
  "authors": [
    "Richard J. Szabo"
  ],
  "comment": "22 pages; Contribution to the Proceedings of the Humboldt Kolleg on \"Quantum Gravity and Fundamental Interactions\", Corfu Summer Institute on Elementary Particle Physics and Gravity, 29 August-9 October 2021, Corfu, Greece",
  "categories": [
    "hep-th",
    "gr-qc",
    "math-ph",
    "math.MP",
    "math.QA"
  ],
  "abstract": "We summarise recent perspectives on symmetries of noncommutative field theories based on homotopy algebras. We show how these new viewpoints naturally lead to a new class of noncommutative field theories which possess braided gauge symmetries, and explain in detail their uses in gravity. We review how these considerations lead to a new theory of noncommutative gravity in four dimensions within the Einstein-Cartan-Palatini formalism.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2022-03-29T16:52:43.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "noncommutative gravity",
      "noncommutative field theories",
      "possess braided gauge symmetries",
      "einstein-cartan-palatini formalism",
      "homotopy algebras"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 22,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}