{
  "id": "math/0411402",
  "version": "v1",
  "published": "2004-11-18T09:59:28.000Z",
  "updated": "2004-11-18T09:59:28.000Z",
  "title": "Dirac-Harmonic Maps",
  "authors": [
    "Qun Chen",
    "Juergen Jost",
    "Jiayu Li",
    "Guofang Wang"
  ],
  "categories": [
    "math.DG",
    "math.AP"
  ],
  "abstract": "We introduce a functional that couples the nonlinear sigma model with a spinor field: $L=\\int_M[|d\\phi|^2+(\\psi,\\D\\psi)]$. In two dimensions, it is conformally invariant. The critical points of this functional are called Dirac-harmonic maps. We study some geometric and analytic aspects of such maps, in particular a removable singularity theorem.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2004-11-18T09:59:28.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "58E20"
    ],
    "keywords": [
      "dirac-harmonic maps",
      "nonlinear sigma model",
      "functional",
      "spinor field",
      "analytic aspects"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2004math.....11402C"
    }
  }
}