{
  "id": "hep-th/9807029",
  "version": "v2",
  "published": "1998-07-03T14:22:37.000Z",
  "updated": "1998-11-29T01:34:11.000Z",
  "title": "Gauge Supergravities for all Odd Dimensions",
  "authors": [
    "Ricardo Troncoso",
    "Jorge Zanelli"
  ],
  "comment": "Final version to appear in Int.Jour.of Theor.Phys., 12 pages, RevTeX, no figures, two columns, corrected typos in eqs.(23-29), additional reference",
  "journal": "Int.J.Theor.Phys.38:1181-1206,1999",
  "doi": "10.1023/A:1026614631617",
  "categories": [
    "hep-th"
  ],
  "abstract": "Recently proposed supergravity theories in odd dimensions whose fields are connection one-forms for the minimal supersymmetric extensions of anti-de Sitter gravity are discussed. Two essential ingredients are required for this construction: (1) The superalgebras, which extend the adS algebra for different dimensions, and (2) the lagrangians, which are Chern-Simons $(2n-1)$-forms. The first item completes the analysis of van Holten and Van Proeyen, which was valid for N=1 only. The second ensures that the actions are invariant by construction under the gauge supergroup and, in particular, under local supersymmetry. Thus, unlike standard supergravity, the local supersymmetry algebra closes off-shell and without requiring auxiliary fields. \\\\ The superalgebras are constructed for all dimensions and they fall into three families: $osp(m|N)$ for $D=2,3,4$, mod 8, $osp(N|m)$ for $D=6,7,8$, mod 8, and $su(m-2,2|N)$ for D=5 mod 4, with $m=2^{[D/2]}$. The lagrangian is constructed for $D=5, 7$ and 11. In all cases the field content includes the vielbein ($e_{\\mu}^{a}$), the spin connection ($\\omega_{\\mu}^{ab}$), $N$ gravitini ($\\psi_{\\mu}^{i}$), and some extra bosonic \"matter\" fields which vary from one dimension to another.",
  "revisions": [
    {
      "version": "v2",
      "updated": "1998-11-29T01:34:11.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "odd dimensions",
      "gauge supergravities",
      "supergravity",
      "local supersymmetry algebra closes off-shell",
      "anti-de sitter gravity"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "RevTeX",
      "pages": 12,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "inspire": 472733,
      "adsabs": "1998hep.th....7029T"
    }
  }
}