{
  "id": "cond-mat/0602375",
  "version": "v3",
  "published": "2006-02-16T08:49:32.000Z",
  "updated": "2006-09-20T01:48:42.000Z",
  "title": "The Q-operator for Root-of-Unity Symmetry in Six Vertex Model",
  "authors": [
    "Shi-shyr Roan"
  ],
  "comment": "Latex 26 Pages; Typos and small errors corrected, Some explanations added for clearer presentation, References updated-Journal version with modified labelling of sections and formulas",
  "journal": "J.Phys.A39:12303-12326,2006",
  "doi": "10.1088/0305-4470/39/40/002",
  "categories": [
    "cond-mat.stat-mech",
    "hep-th",
    "math-ph",
    "math.MP",
    "math.QA",
    "nlin.SI"
  ],
  "abstract": "We construct the explicit $Q$-operator incorporated with the $sl_2$-loop-algebra symmetry of the six-vertex model at roots of unity. The functional relations involving the $Q$-operator, the six-vertex transfer matrix and fusion matrices are derived from the Bethe equation, parallel to the Onsager-algebra-symmetry discussion in the superintegrable $N$-state chiral Potts model. We show that the whole set of functional equations is valid for the $Q$-operator. Direct calculations in certain cases are also given here for clearer illustration about the nature of the $Q$-operator in the symmetry study of root-of-unity six-vertex model from the functional-relation aspect.",
  "revisions": [
    {
      "version": "v3",
      "updated": "2006-09-20T01:48:42.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "05.50.+q",
      "75.10.Jm",
      "02.20.Tw"
    ],
    "keywords": [
      "root-of-unity symmetry",
      "state chiral potts model",
      "q-operator",
      "six-vertex transfer matrix",
      "root-of-unity six-vertex model"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "LaTeX",
      "pages": 26,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "inspire": 710855
    }
  }
}