{
  "id": "hep-th/9607110",
  "version": "v3",
  "published": "1996-07-14T20:48:54.000Z",
  "updated": "1996-12-31T16:50:59.000Z",
  "title": "Weyl-Gauging and Conformal Invariance",
  "authors": [
    "A. Iorio",
    "L. O'Raifeartaigh",
    "I. Sachs",
    "C. Wiesendanger"
  ],
  "comment": "Extended version including discussion of arbitrary spin in any dimensions. References added",
  "journal": "Nucl.Phys. B495 (1997) 433-450",
  "doi": "10.1016/S0550-3213(97)00190-9",
  "categories": [
    "hep-th",
    "gr-qc"
  ],
  "abstract": "Scale-invariant actions in arbitrary dimensions are investigated in curved space to clarify the relation between scale-, Weyl- and conformal invariance on the classical level. The global Weyl-group is gauged. Then the class of actions is determined for which Weyl-gauging may be replaced by a suitable coupling to the curvature (Ricci gauging). It is shown that this class is exactly the class of actions which are conformally invariant in flat space. The procedure yields a simple algebraic criterion for conformal invariance and produces the improved energy-momentum tensor in conformally invariant theories in a systematic way. It also provides a simple and fundamental connection between Weyl-anomalies and central extensions in two dimensions. In particular, the subset of scale-invariant Lagrangians for fields of arbitrary spin, in any dimension, which are conformally invariant is given. An example of a quadratic action for which scale-invariance does not imply conformal invariance is constructed.",
  "revisions": [
    {
      "version": "v3",
      "updated": "1996-12-31T16:50:59.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11.15.-q",
      "04.20.Cv"
    ],
    "keywords": [
      "conformal invariance",
      "weyl-gauging",
      "simple algebraic criterion",
      "quadratic action",
      "arbitrary spin"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "Elsevier",
      "journal": "Nucl. Phys. B"
    },
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "inspire": 420684
    }
  }
}