{
  "id": "0807.3003",
  "version": "v2",
  "published": "2008-07-18T16:31:32.000Z",
  "updated": "2008-11-25T08:20:45.000Z",
  "title": "On the notion of gauge symmetries of generic Lagrangian field theory",
  "authors": [
    "G. Giachetta",
    "L. Mangiarotti",
    "G. Sardanashvily"
  ],
  "comment": "27 pages, accepted for publication in J. Math. Phys",
  "journal": "J.Math.Phys.50:012903,2009",
  "doi": "10.1063/1.3049750",
  "categories": [
    "math-ph",
    "math.MP"
  ],
  "abstract": "General Lagrangian theory of even and odd fields on an arbitrary smooth manifold is considered. Its non-trivial reducible gauge symmetries and their algebra are defined in this very general setting by means of the inverse second Noether theorem. In contrast with gauge symmetries, non-trivial Noether and higher-stage Noether identities of Lagrangian theory can be intrinsically defined by constructing the exact Koszul-Tate complex. The inverse second Noether theorem that we prove associates to this complex the cochain sequence with the ascent operator whose components define non-trivial gauge and higher-stage gauge symmetries. These gauge symmetries are said to be algebraically closed if the ascent operator can be extended to a nilpotent operator. The necessary conditions for this extension are stated. The characteristic examples of Yang-Mills supergauge theory, topological Chern-Simons theory, gauge gravitation theory and topological BF theory are presented.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2008-11-25T08:20:45.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11.15.-q",
      "11.30.Na",
      "04.50.-h",
      "11.10.Ef"
    ],
    "keywords": [
      "generic lagrangian field theory",
      "gauge symmetries",
      "inverse second noether theorem",
      "lagrangian theory",
      "ascent operator"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "AIP",
      "journal": "Journal of Mathematical Physics",
      "year": 2009,
      "month": "Jan",
      "volume": 50,
      "number": 1,
      "pages": 2903
    },
    "note": {
      "typesetting": "TeX",
      "pages": 27,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "inspire": 791092,
      "adsabs": "2009JMP....50a2903G"
    }
  }
}