{
  "id": "hep-th/9510183",
  "version": "v2",
  "published": "1995-10-25T08:08:39.000Z",
  "updated": "1995-10-27T11:56:24.000Z",
  "title": "Prepotentials of $N=2$ Supersymmetric Gauge Theories and Soliton Equations",
  "authors": [
    "Tohru Eguchi",
    "Sung-Kil Yang"
  ],
  "comment": "10 pages, latex, no figures, a reference added",
  "journal": "Mod.Phys.Lett. A11 (1996) 131-138",
  "doi": "10.1142/S0217732396000151",
  "categories": [
    "hep-th"
  ],
  "abstract": "Using recently proposed soliton equations we derive a basic identity for the scaling violation of $N=2$ supersymmetric gauge theories $\\sum_i a_i\\partial F/\\partial a_i-2F=8 \\pi i b_1 u$. Here $F$ is the prepotential, $a_i$'s are the expectation values of the scalar fields in the vector multiplet, $u=1/2\\, {\\rm Tr}\\, \\langle\\phi^2\\rangle$ and $b_1$ is the coefficient of the one-loop $\\beta$-function. This equation holds in the Coulomb branch of all $N=2$ supersymmetric gauge theories coupled with massless matter.",
  "revisions": [
    {
      "version": "v2",
      "updated": "1995-10-27T11:56:24.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "soliton equations",
      "prepotential",
      "coulomb branch",
      "equation holds",
      "scalar fields"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "LaTeX",
      "pages": 10,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "inspire": 401416
    }
  }
}