{
  "id": "1203.1594",
  "version": "v1",
  "published": "2012-03-07T20:21:56.000Z",
  "updated": "2012-03-07T20:21:56.000Z",
  "title": "Twisted Yang-Mills field theory: connections and Noether current",
  "authors": [
    "Mahouton Norbert Hounkonnou",
    "Dine Ousmane Samary"
  ],
  "journal": "J. Phys. A: Math. Theor. 44, No 31, Article ID 315401, pp11 (2011)",
  "categories": [
    "math-ph",
    "math.MP"
  ],
  "abstract": "Main properties of noncommutative (NC) gauge theory are investigated in a $2-$dimensional twisted Moyal plane, generated by vector fields $X_{a}=e_{a}^{\\mu}(x)\\partial_{\\mu};$ the dynamical effects are induced by a non trivial tensor $e_{a}^{\\mu}(x)$. Connections in such a NC space are defined. Symmetry analysis is performed and related NC action is proved to be invariant under defined NC gauge transformations. A locally conserved Noether current is explicitly computed. Both commuting and noncommutative vector fields $X_{a}$ are considered.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2012-03-07T20:21:56.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "twisted yang-mills field theory",
      "connections",
      "vector fields",
      "defined nc gauge transformations",
      "dimensional twisted moyal plane"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2012arXiv1203.1594H"
    }
  }
}