{
  "id": "1312.4879",
  "version": "v2",
  "published": "2013-12-17T17:50:51.000Z",
  "updated": "2013-12-19T20:07:46.000Z",
  "title": "Dirac operators on the Taub-NUT space, monopoles and SU(2) representations",
  "authors": [
    "Rogelio Jante",
    "Bernd Schroers"
  ],
  "comment": "33 pages, 1 figure; references updated and one result generalised",
  "categories": [
    "hep-th",
    "gr-qc",
    "math-ph",
    "math.MP"
  ],
  "abstract": "We analyse the normalisable zero-modes of the Dirac operator on the Taub-NUT manifold coupled to an abelian gauge field with self-dual curvature, and interpret them in terms of the zero modes of the Dirac operator on the 2-sphere coupled to a Dirac monopole. We show that the space of zero modes decomposes into a direct sum of irreducible SU(2) representations of all dimensions up to a bound determined by the spinor charge with respect to the abelian gauge group. Our decomposition provides an interpretation of an index formula due to Pope and provides a possible model for spin in recently proposed geometric models of matter.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2013-12-19T20:07:46.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "dirac operator",
      "taub-nut space",
      "representations",
      "abelian gauge field",
      "zero modes decomposes"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "doi": "10.1007/JHEP01(2014)114",
      "journal": "Journal of High Energy Physics",
      "year": 2014,
      "month": "Jan",
      "volume": 2014,
      "pages": 114
    },
    "note": {
      "typesetting": "TeX",
      "pages": 33,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "inspire": 1269720,
      "adsabs": "2014JHEP...01..114J"
    }
  }
}