{
  "id": "1610.02289",
  "version": "v1",
  "published": "2016-10-07T13:58:50.000Z",
  "updated": "2016-10-07T13:58:50.000Z",
  "title": "Regularity of Solutions of the Nonlinear Sigma Model with Gravitino",
  "authors": [
    "Jürgen Jost",
    "Enno Keßler",
    "Jürgen Tolksdorf",
    "Ruijun Wu",
    "Miaomiao Zhu"
  ],
  "comment": "24 pages",
  "categories": [
    "math.DG",
    "math.AP"
  ],
  "abstract": "We propose a geometric setup to study analytic aspects of a variant of the super symmetric two-dimensional nonlinear sigma model. This functional extends the functional of Dirac-harmonic maps by gravitino fields. The system of Euler--Lagrange equations of the two-dimensional nonlinear sigma model with gravitino is calculated explicitly. The gravitino terms pose additional analytic difficulties to show smoothness of its weak solutions which are overcome using Rivi\\`ere's regularity theory and Riesz potential theory.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2016-10-07T13:58:50.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "53C43",
      "35B65"
    ],
    "keywords": [
      "regularity",
      "super symmetric two-dimensional nonlinear sigma",
      "terms pose additional analytic difficulties",
      "symmetric two-dimensional nonlinear sigma model",
      "gravitino terms pose additional analytic"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 24,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}