{
  "id": "0811.3410",
  "version": "v1",
  "published": "2008-11-20T20:39:30.000Z",
  "updated": "2008-11-20T20:39:30.000Z",
  "title": "Adinkras for Clifford Algebras, and Worldline Supermultiplets",
  "authors": [
    "C. F. Doran",
    "M. G. Faux",
    "S. J. Gates Jr.",
    "T. Hubsch",
    "K. M. Iga",
    "G. D. Landweber",
    "R. L. Miller"
  ],
  "comment": "54 pages, 8 tables with many illustrations",
  "categories": [
    "hep-th"
  ],
  "abstract": "Adinkras are a graphical depiction of representations of the N-extended supersymmetry algebra in one dimension, on the worldline. These diagrams represent the component fields in a supermultiplet as vertices, and the action of the supersymmetry generators as edges. In a previous work, we showed that the chromotopology (topology with colors) of an Adinkra must come from a doubly even binary linear code. Herein, we relate Adinkras to Clifford algebras, and use this to construct, for every such code, a supermultiplet corresponding to that code. In this way, we correlate the well-known classification of representations of Clifford algebras to the classification of Adinkra chromotopologies.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2008-11-20T20:39:30.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "04.65.+e"
    ],
    "keywords": [
      "clifford algebras",
      "worldline supermultiplets",
      "binary linear code",
      "adinkra chromotopologies",
      "diagrams represent"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 54,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "inspire": 803194,
      "adsabs": "2008arXiv0811.3410D"
    }
  }
}