{
  "id": "hep-th/0007019",
  "version": "v4",
  "published": "2000-07-03T22:54:53.000Z",
  "updated": "2000-11-15T22:00:35.000Z",
  "title": "Non-Linear Electrodynamics in Curved Backgrounds",
  "authors": [
    "Gary W. Gibbons",
    "Koji Hashimoto"
  ],
  "comment": "35 pages, LaTeX, Comments and references added, a part of Sec. 5.1 deleted, published version",
  "journal": "JHEP 0009:013,2000",
  "doi": "10.1088/1126-6708/2000/09/013",
  "categories": [
    "hep-th"
  ],
  "abstract": "We study non-linear electrodynamics in curved space from the viewpoint of dualities. After establishing the existence of a topological bound for self-dual configurations of Born-Infeld field in curved space, we check that the energy-momentum tensor vanishes. These properties are shown to hold for general duality-invariant non-linear electrodynamics. We give the dimensional reduction of Born-Infeld action to three dimensions in a general curved background admitting a Killing vector. The SO(2) duality symmetry becomes manifest but other symmetries present in flat space are broken, as is U-duality when one couples to gravity. We generalize our arguments on duality to the case of n U(1) gauge fields, and present a new Lagrangian possessing SO(n) X SO(2)_elemag duality symmetry. Other properties of this model such as Legendre duality and enhancement of the symmetry by adding dilaton and axion, are studied. We extend our arguments to include a background b-field in the curved space, and give new examples including almost Kaehler manifolds and Schwarzshild black holes with a $b$-field.",
  "revisions": [
    {
      "version": "v4",
      "updated": "2000-11-15T22:00:35.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "curved space",
      "duality symmetry",
      "general duality-invariant non-linear electrodynamics",
      "energy-momentum tensor vanishes",
      "schwarzshild black holes"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "IOP",
      "journal": "J. High Energ. Phys."
    },
    "note": {
      "typesetting": "LaTeX",
      "pages": 35,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "inspire": 529614
    }
  }
}