{
  "id": "math/0511703",
  "version": "v1",
  "published": "2005-11-29T13:00:35.000Z",
  "updated": "2005-11-29T13:00:35.000Z",
  "title": "Supersymmetric Harmonic Maps into Symmetric Spaces",
  "authors": [
    "Idrisse Khemar"
  ],
  "categories": [
    "math.DG",
    "math-ph",
    "math.MP"
  ],
  "abstract": "We study supersymmetric harmonic maps from the point of view of integrable system. It is well known that harmonic maps from R^2 into a symmetric space are solutions of a integrable system . We show here that the superharmonic maps from R^{2|2} into a symmetric space are solutions of a integrable system, more precisely of a first elliptic integrable system in the sense of C.L. Terng and that we have a Weierstrass-type representation in terms of holomorphic potentials (as well as of meromorphic potentials). In the end of the paper we show that superprimitive maps from R^{2|2} into a 4-symmetric space give us, by restriction to R^2, solutions of the second elliptic system associated to the previous 4-symmetric space.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2005-11-29T13:00:35.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "symmetric space",
      "study supersymmetric harmonic maps",
      "first elliptic integrable system",
      "second elliptic system",
      "weierstrass-type representation"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2005math.....11703K"
    }
  }
}