{
  "id": "hep-th/9311171",
  "version": "v3",
  "published": "1993-11-29T19:17:55.000Z",
  "updated": "1994-11-17T00:48:31.000Z",
  "title": "Kac-Moody Groups and Integrability of Soliton Equations",
  "authors": [
    "Boris Feigin",
    "Edward Frenkel"
  ],
  "comment": "30 pages, AMSLatex; extended version accepted for publication in Invent. Math",
  "categories": [
    "hep-th"
  ],
  "abstract": "A new approach to integrability of affine Toda field theories and closely related to them KdV hierarchies is proposed. The flows of a hierarchy are explicitly identified with infinitesimal action of the principal abelian subalgebra of the nilpotent part of the corresponding affine algebra on a homogeneous space. This is an extended version of the paper \"Generalized KdV flows and nilpotent subgroups of affine Kac-Moody groups\"; it has been accepted for publication in Inventiones Mathematicae.",
  "revisions": [
    {
      "version": "v3",
      "updated": "1994-11-17T00:48:31.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "soliton equations",
      "integrability",
      "affine toda field theories",
      "principal abelian subalgebra",
      "affine kac-moody groups"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 30,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "inspire": 360667,
      "adsabs": "1993hep.th...11171F"
    }
  }
}