{
  "id": "1602.03441",
  "version": "v1",
  "published": "2016-02-10T16:50:11.000Z",
  "updated": "2016-02-10T16:50:11.000Z",
  "title": "Higher Gauge Theory with String 2-Groups",
  "authors": [
    "Getachew Alemu Demessie",
    "Christian Saemann"
  ],
  "comment": "48 pages",
  "categories": [
    "math-ph",
    "hep-th",
    "math.DG",
    "math.MP"
  ],
  "abstract": "We give a complete and explicit description of the kinematical data of higher gauge theory on principal 2-bundles with the string 2-group model of Schommer-Pries as structure 2-group. We start with a self-contained review of the weak 2-category Bibun of Lie groupoids, bibundles and bibundle morphisms. We then construct categories internal to Bibun, which allow us to define principal 2-bundles with 2-groups internal to Bibun as structure 2-groups. Using these, we Lie-differentiate the 2-group model of the string group and we obtain the well-known string Lie 2-algebra. Generalizing the differentiation process, we find Maurer-Cartan forms leading us to higher non-abelian Deligne cohomology, encoding the kinematical data of higher gauge theory together with their (finite) gauge symmetries. We end by discussing an example of non-abelian self-dual strings in this setting.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2016-02-10T16:50:11.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "higher gauge theory",
      "higher non-abelian deligne cohomology",
      "non-abelian self-dual strings",
      "construct categories internal",
      "kinematical data"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 48,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2016arXiv160203441A",
      "inspire": 1420725
    }
  }
}