{
  "id": "hep-th/0703210",
  "version": "v2",
  "published": "2007-03-23T08:58:21.000Z",
  "updated": "2007-09-06T12:45:44.000Z",
  "title": "Extension Bundles and the Standard Model",
  "authors": [
    "Bjorn Andreas",
    "Gottfried Curio"
  ],
  "comment": "31 pages, harvmac, references added",
  "journal": "JHEP0707:053,2007",
  "doi": "10.1088/1126-6708/2007/07/053",
  "categories": [
    "hep-th",
    "math.AG"
  ],
  "abstract": "We construct a new class of stable vector bundles suitable for heterotic string compactifications. Using these we describe a novel way to derive the fermionic matter content of the Standard Model from the heterotic string. For this we compactify on an elliptically fibered Calabi-Yau threefold X with two sections, the B-fibration, a variant of the ordinary Weierstrass fibration, which allows X to carry a free involution. We construct rank five vector bundles, invariant under this involution, such that turning on a Wilson line we obtain the Standard Model gauge group and find various three generation models. This rank five bundle is derived from a stable rank four bundle that arises as an extension of bundles pulled-back from the base and twisted by suitable line bundles. We also give an account of various previous results and put the present construction into perspective.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2007-09-06T12:45:44.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "extension bundles",
      "standard model gauge group",
      "fermionic matter content",
      "ordinary weierstrass fibration",
      "elliptically fibered calabi-yau threefold"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "IOP",
      "journal": "J. High Energ. Phys."
    },
    "note": {
      "typesetting": "TeX",
      "pages": 31,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "inspire": 747079
    }
  }
}