{
  "id": "1612.04080",
  "version": "v1",
  "published": "2016-12-13T10:11:31.000Z",
  "updated": "2016-12-13T10:11:31.000Z",
  "title": "Non-existence of natural states for Abelian Chern-Simons theory",
  "authors": [
    "Claudio Dappiaggi",
    "Simone Murro",
    "Alexander Schenkel"
  ],
  "comment": "6 pages",
  "categories": [
    "math-ph",
    "hep-th",
    "math.MP"
  ],
  "abstract": "We give an elementary proof that Abelian Chern-Simons theory, described as a functor from oriented surfaces to C*-algebras, does not admit a natural state. Non-existence of natural states is thus not only a phenomenon of quantum field theories on Lorentzian manifolds, but also of topological quantum field theories formulated in the algebraic approach.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2016-12-13T10:11:31.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "abelian chern-simons theory",
      "natural state",
      "non-existence",
      "topological quantum field theories",
      "elementary proof"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 6,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}