{
  "id": "1806.03359",
  "version": "v1",
  "published": "2018-06-08T21:27:58.000Z",
  "updated": "2018-06-08T21:27:58.000Z",
  "title": "Integrable Chiral Potts Model and the Odd-Even Problem in Quantum Groups at Roots of Unity",
  "authors": [
    "Helen Au-Yang",
    "Jacques H. H. Perk"
  ],
  "comment": "LaTeX, 10 pages, 7 figures (12 pdf files)",
  "categories": [
    "math-ph",
    "math.MP"
  ],
  "abstract": "At roots of unity the $N$-state integrable chiral Potts model and the six-vertex model descend from each other with the $\\tau_2$ model as the intermediate. We shall discuss how different gauge choices in the six-vertex model lead to two different quantum group constructions with different $q$-Pochhammer symbols, one construction only working well for $N$ odd, the other equally well for all $N$. We also address the generalization based on the sl$(m,n)$ vertex model.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2018-06-08T21:27:58.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "odd-even problem",
      "state integrable chiral potts model",
      "six-vertex model descend",
      "quantum group constructions"
    ],
    "note": {
      "typesetting": "LaTeX",
      "pages": 10,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}