{
  "id": "hep-th/9703057",
  "version": "v1",
  "published": "1997-03-07T09:14:49.000Z",
  "updated": "1997-03-07T09:14:49.000Z",
  "title": "Seiberg-Witten Monopole Equations And Riemann Surfaces",
  "authors": [
    "C. Saclioglu",
    "S. Nergiz"
  ],
  "comment": "Latex, 23 pages.",
  "journal": "Nucl.Phys. B503 (1997) 675-687",
  "doi": "10.1016/S0550-3213(97)00457-4",
  "categories": [
    "hep-th"
  ],
  "abstract": "The twice-dimensionally reduced Seiberg-Witten monopole equations admit solutions depending on two real parameters (b,c) and an arbitrary analytic function f(z) determining a solution of Liouville's equation. The U(1) and manifold curvature 2-forms F and R^1_2 are invariant under fractional SL(2,R) transformations of f(z). When b=1/2 and c=0 and f(z) is the Fuchsian function uniformizing an algebraic function whose Riemann surface has genus p \\geq 2 , the solutions, now SL(2,R) invariant, are the same surfaces accompanied by a U(1) bundle of c_1=\\pm (p-1) and a 1-component constant spinor.",
  "revisions": [
    {
      "version": "v1",
      "updated": "1997-03-07T09:14:49.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "02.40.Ma",
      "02.10.Rn",
      "02.40.Ky"
    ],
    "keywords": [
      "riemann surface",
      "equations admit solutions depending",
      "seiberg-witten monopole equations admit solutions",
      "reduced seiberg-witten monopole equations admit",
      "twice-dimensionally reduced seiberg-witten monopole equations"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "Elsevier",
      "journal": "Nucl. Phys. B"
    },
    "note": {
      "typesetting": "LaTeX",
      "pages": 23,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "inspire": 441006
    }
  }
}