{
  "id": "1304.5946",
  "version": "v2",
  "published": "2013-04-22T13:30:33.000Z",
  "updated": "2013-06-08T08:56:50.000Z",
  "title": "Comments on double field theory and diffeomorphisms",
  "authors": [
    "Jeong-Hyuck Park"
  ],
  "comment": "1+34 pages; A minute change of the title from \"diffeomorphism\" to \"diffeomorphisms\". To appear in JHEP",
  "journal": "JHEP 1306 (2013) 098",
  "doi": "10.1007/JHEP06(2013)098",
  "categories": [
    "hep-th",
    "math-ph",
    "math.MP"
  ],
  "abstract": "As the theory is subject to a section condition, coordinates in double field theory do not represent physical points in an injective manner. We argue that a physical point should be rather one-to-one identified with a `gauge orbit' in the coordinate space. The diffeomorphism symmetry then implies an invariance under arbitrary reparametrizations of the gauge orbits. Within this generalized sense of diffeomorphism, we show that a recently proposed tensorial transformation rule for finite coordinate transformations is actually (i) consistent with the standard exponential map, and further (ii) compatible with the full covariance of the `semi-covariant' derivatives and curvatures after projectors are properly imposed.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2013-06-08T08:56:50.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "04.60.Cf",
      "02.40.-k"
    ],
    "keywords": [
      "double field theory",
      "gauge orbit",
      "tensorial transformation rule",
      "finite coordinate transformations",
      "standard exponential map"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "Springer",
      "journal": "Journal of High Energy Physics",
      "year": 2013,
      "month": "Jun",
      "volume": 2013,
      "pages": 98
    },
    "note": {
      "typesetting": "TeX",
      "pages": 34,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "inspire": 1229370,
      "adsabs": "2013JHEP...06..098P"
    }
  }
}