{
  "id": "2212.12872",
  "version": "v1",
  "published": "2022-12-25T08:15:47.000Z",
  "updated": "2022-12-25T08:15:47.000Z",
  "title": "An extension of the $\\mathrm{U}\\!\\left(1\\right)$ BF theory, Turaev-Viro invariant and Drinfeld center construction. Part I: Quantum fields, quantum currents and Pontryagin duality",
  "authors": [
    "Emil Høssjer",
    "Philippe Mathieu",
    "Frank Thuillier"
  ],
  "comment": "58 pages, 2 figures",
  "categories": [
    "math-ph",
    "hep-th",
    "math.MP"
  ],
  "abstract": "In this first of a series of articles dedicated to natural extensions of the U(1) BF theory, abelian Turaev-Viro (TV) construction and corresponding Drinfeld center construction for any closed oriented smooth manifolds, we present the mathematical background that will be used.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2022-12-25T08:15:47.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "bf theory",
      "turaev-viro invariant",
      "quantum fields",
      "pontryagin duality",
      "quantum currents"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 58,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}