{
  "id": "hep-th/0202152",
  "version": "v2",
  "published": "2002-02-22T09:00:56.000Z",
  "updated": "2002-03-04T02:57:45.000Z",
  "title": "W(E_10) Symmetry, M-Theory and Painleve Equations",
  "authors": [
    "Shun'ya Mizoguchi",
    "Yasuhiko Yamada"
  ],
  "comment": "14 pages, dedicated to the memory of Sung-Kil Yang, references added",
  "journal": "Phys.Lett. B537 (2002) 130-140",
  "doi": "10.1016/S0370-2693(02)01870-1",
  "categories": [
    "hep-th"
  ],
  "abstract": "The Weyl group symmetry W(E_k) is studied from the points of view of the E-strings, Painleve equations and U-duality. We give a simple reformulation of the elliptic Painleve equation in such a way that the hidden symmetry W(E_10) is manifestly realized. This reformulation is based on the birational geometry of the del Pezzo surface and closely related to Seiberg-Witten curves describing the E-strings. The relation of the W(E_k) symmetry to the duality of M-theory on a torus is discussed on the level of string equations of motion.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2002-03-04T02:57:45.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "del pezzo surface",
      "weyl group symmetry",
      "elliptic painleve equation",
      "hidden symmetry",
      "simple reformulation"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 14,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "inspire": 583289
    }
  }
}