{
  "id": "math-ph/0307021",
  "version": "v1",
  "published": "2003-07-09T17:36:46.000Z",
  "updated": "2003-07-09T17:36:46.000Z",
  "title": "Forms on Vector Bundles Over Hyperbolic Manifolds and the Conformal Anomaly",
  "authors": [
    "A. A. Bytsenko",
    "E. Elizalde",
    "R. A. Ulhoa"
  ],
  "comment": "13 pages, 2 tables",
  "journal": "J.Phys.A37:2479-2486,2004",
  "doi": "10.1088/0305-4470/37/6/036",
  "categories": [
    "math-ph",
    "math.FA",
    "math.MP"
  ],
  "abstract": "We study gauge theories based on abelian $p-$forms on real compact hyperbolic manifolds. An explicit formula for the conformal anomaly corresponding to skew--symmetric tensor fields is obtained, by using zeta--function regularization and the trace tensor kernel formula. Explicit exact and numerical values of the anomaly for $p-$forms of order up to $p=4$ in spaces of dimension up to $n=10$ are then calculated.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2003-07-09T17:36:46.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "81T50",
      "14D21",
      "58A10"
    ],
    "keywords": [
      "conformal anomaly",
      "vector bundles",
      "trace tensor kernel formula",
      "real compact hyperbolic manifolds",
      "skew-symmetric tensor fields"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "journal": "Journal of Physics A Mathematical General",
      "year": 2004,
      "month": "Feb",
      "volume": 37,
      "number": 6,
      "pages": 2479
    },
    "note": {
      "typesetting": "TeX",
      "pages": 13,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "inspire": 623242,
      "adsabs": "2004JPhA...37.2479B"
    }
  }
}