{
  "id": "hep-th/9604199",
  "version": "v1",
  "published": "1996-04-30T21:41:15.000Z",
  "updated": "1996-04-30T21:41:15.000Z",
  "title": "On the integrable geometry of soliton equations and N=2 supersymmetric gauge theories",
  "authors": [
    "I. M. Krichever",
    "D. H. Phong"
  ],
  "comment": "38 pages, TeX file, no figures",
  "journal": "J.Diff.Geom. 45 (1997) 349-389",
  "categories": [
    "hep-th"
  ],
  "abstract": "We provide a unified construction of the symplectic forms which arise in the solution of both N=2 supersymmetric Yang-Mills theories and soliton equations. Their phase spaces are Jacobian-type bundles over the leaves of a foliation in a universal configuration space. On one hand, imbedded into finite-gap solutions of soliton equations, these symplectic forms assume explicit expressions in terms of the auxiliary Lax pair, expressions which generalize the well-known Gardner-Faddeev-Zakharov bracket for KdV to a vast class of 2D integrable models; on the other hand, they determine completely the effective Lagrangian and BPS spectrum when the leaves are identified with the moduli space of vacua of an N=2 supersymmetric gauge theory. For SU($N_c$) with $N_f\\leq N_c+1$ flavors, the spectral curves we obtain this way agree with the ones derived by Hanany and Oz and others from physical considerations.",
  "revisions": [
    {
      "version": "v1",
      "updated": "1996-04-30T21:41:15.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "supersymmetric gauge theory",
      "soliton equations",
      "integrable geometry",
      "symplectic forms assume explicit expressions",
      "well-known gardner-faddeev-zakharov bracket"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 38,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "inspire": 418148,
      "adsabs": "1996hep.th....4199K"
    }
  }
}