{
  "id": "1402.2737",
  "version": "v3",
  "published": "2014-02-12T05:22:10.000Z",
  "updated": "2014-08-18T03:04:33.000Z",
  "title": "Effects of Dimension-5 Operators in $E_6$ Grand Unified Theories",
  "authors": [
    "Chao-Shang Huang"
  ],
  "comment": "8 pages, latex, minor changes, accepted for the publication in MPLA",
  "categories": [
    "hep-ph"
  ],
  "abstract": "The effective dimension-5 operators can be induced by quantum gravity or inspired by string and M theories. They have important impacts on grand unified theories. We investigate the group theoretic nature of them for the well known E(6) model. Considering the breaking chains $E_{6}\\mapsto H=SO(10)\\times U_{V'}(1)\\mapsto SU(5)\\times U_{V}(1)\\times U_{V'}(1)\\mapsto SU(3)\\times SU(2)\\times U_{Z}(1)\\times U_{V}(1)\\times U_{V'}(1)$ and $E_{6}\\mapsto H=SO(10)\\times U_{V'}(1)\\mapsto SU(4)\\times SU_{L}(2)\\times SU_{R}(2)\\times U_{V'}(1)\\mapsto SU(3)\\times SU_{L}(2)\\times SU_{R}(2)\\times U_{S}(1)\\times U_{V'}(1)$, we derive and give all of the Clebsch-Gordan coefficients $\\Phi^{(r)}_{s,z}$ associated with $E_6$ breaking to the standard model. Some applications of the results are discussed shortly.",
  "revisions": [
    {
      "version": "v3",
      "updated": "2014-08-18T03:04:33.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "12.10.Dm",
      "12.10.Kt",
      "04.60.-m"
    ],
    "keywords": [
      "grand unified theories",
      "group theoretic nature",
      "quantum gravity",
      "clebsch-gordan coefficients",
      "important impacts"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "doi": "10.1142/S0217732314501508",
      "journal": "Modern Physics Letters A",
      "year": 2014,
      "month": "Sep",
      "volume": 29,
      "number": 30,
      "pages": 1450150
    },
    "note": {
      "typesetting": "LaTeX",
      "pages": 8,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "inspire": 1281071,
      "adsabs": "2014MPLA...2950150H"
    }
  }
}