{
  "id": "math-ph/0209035",
  "version": "v1",
  "published": "2002-09-19T14:28:16.000Z",
  "updated": "2002-09-19T14:28:16.000Z",
  "title": "Generalized free fields and the AdS-CFT correspondence",
  "authors": [
    "M. Duetsch",
    "K. -H. Rehren"
  ],
  "comment": "25 pages",
  "journal": "AnnalesHenriPoincare4:613-635,2003",
  "doi": "10.1007/s00023-003-0141-9",
  "categories": [
    "math-ph",
    "hep-th",
    "math.MP"
  ],
  "abstract": "Motivated by structural issues in the AdS-CFT correspondence, the theory of generalized free fields is reconsidered. A stress-energy tensor for the generalized free field is constructed as a limit of Wightman fields. Although this limit is singular, it fulfils the requirements of a conserved local density for the Poincar'e generators. An explicit \"holographic\" formula relating the Klein-Gordon field on AdS to generalized free fields on Minkowski space-time is provided, and contrasted with the \"algebraic\" notion of holography. A simple relation between the singular stress-energy tensor and the canonical AdS stress-energy tensor is exhibited.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2002-09-19T14:28:16.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "81T05",
      "81T10",
      "81T20"
    ],
    "keywords": [
      "generalized free field",
      "ads-cft correspondence",
      "singular stress-energy tensor",
      "canonical ads stress-energy tensor",
      "klein-gordon field"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 25,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "inspire": 595389,
      "adsabs": "2003AnHP....4..613D"
    }
  }
}