{
  "id": "math-ph/0207004",
  "version": "v2",
  "published": "2002-07-01T14:44:39.000Z",
  "updated": "2002-10-02T15:13:19.000Z",
  "title": "A Generalized Q-operator for U_q(\\hat(sl_2)) Vertex Models",
  "authors": [
    "Marco Rossi",
    "Robert Weston"
  ],
  "comment": "22 pages, Latex2e. This replacement is a revised version that includes a simple explicit expression for the Q matrix for the 6-vertex model",
  "journal": "J.Phys.A35:10015-10032,2002",
  "doi": "10.1088/0305-4470/35/47/304",
  "categories": [
    "math-ph",
    "cond-mat.stat-mech",
    "hep-th",
    "math.MP",
    "math.QA"
  ],
  "abstract": "In this paper, we construct a Q-operator as a trace of a representation of the universal R-matrix of $U_q(\\hat{sl}_2)$ over an infinite-dimensional auxiliary space. This auxiliary space is a four-parameter generalization of the q-oscillator representations used previously. We derive generalized T-Q relations in which 3 of these parameters shift. After a suitable restriction of parameters, we give an explicit expression for the Q-operator of the 6-vertex model and show the connection with Baxter's expression for the central block of his corresponding operator.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2002-10-02T15:13:19.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "82B23",
      "81R12",
      "81T40"
    ],
    "keywords": [
      "vertex models",
      "generalized q-operator",
      "infinite-dimensional auxiliary space",
      "four-parameter generalization",
      "universal r-matrix"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "LaTeX",
      "pages": 22,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "inspire": 606540
    }
  }
}