{
  "id": "1209.0385",
  "version": "v1",
  "published": "2012-09-03T15:30:39.000Z",
  "updated": "2012-09-03T15:30:39.000Z",
  "title": "Non-Associativity in the Clifford Bundle on the Parallelizable Torsion 7-Sphere",
  "authors": [
    "Roldao da Rocha",
    "M. A. Traesel",
    "Jayme Vaz Jr"
  ],
  "comment": "16 pages",
  "journal": "Adv. Appl. Clifford Algebras 22 (2012) 595-610",
  "doi": "10.1007/s00006-012-0350-8",
  "categories": [
    "math-ph",
    "hep-th",
    "math.MP",
    "math.QA"
  ],
  "abstract": "In this paper we discuss generalized properties of non-associativity in Clifford bundles on the 7-sphere S7. Novel and prominent properties inherited from the non-associative structure of the Clifford bundle on S7 are demonstrated. They naturally lead to general transformations of the spinor fields on S7 and have dramatic consequences for the associated Kac-Moody current algebras. All additional properties concerning the non-associative structure in the Clifford bundle on S7 are considered. We further discuss and explore their applications.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2012-09-03T15:30:39.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "15A66",
      "81R10"
    ],
    "keywords": [
      "clifford bundle",
      "parallelizable torsion",
      "non-associativity",
      "non-associative structure",
      "associated kac-moody current algebras"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 16,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "inspire": 1184234,
      "adsabs": "2012arXiv1209.0385D"
    }
  }
}