{
  "id": "2009.00333",
  "version": "v1",
  "published": "2020-09-01T10:24:42.000Z",
  "updated": "2020-09-01T10:24:42.000Z",
  "title": "Smooth Fock bundles, and spinor bundles on loop space",
  "authors": [
    "Peter Kristel",
    "Konrad Waldorf"
  ],
  "comment": "47 pages",
  "categories": [
    "math.RT",
    "math-ph",
    "math.MP"
  ],
  "abstract": "We address the construction of smooth bundles of fermionic Fock spaces, a problem that appears frequently in fermionic gauge theories. Our main motivation is the spinor bundle on the free loop space of a string manifold, a structure anticipated by Killingback, with a construction outlined by Stolz-Teichner. We develop a general framework for constructing smooth Fock bundles, and obtain as an application a complete and well-founded construction of spinor bundles on loop space.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-09-01T10:24:42.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "22E66",
      "53C27",
      "46N50",
      "81R10"
    ],
    "keywords": [
      "spinor bundle",
      "construction",
      "fermionic fock spaces",
      "free loop space",
      "constructing smooth fock bundles"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 47,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}