{
  "id": "1703.06250",
  "version": "v1",
  "published": "2017-03-18T04:37:51.000Z",
  "updated": "2017-03-18T04:37:51.000Z",
  "title": "Domain wall boundary partition function of the six-vertex model with triangular boundary",
  "authors": [
    "Kohei Motegi"
  ],
  "comment": "20 pages, 13 figures",
  "categories": [
    "math-ph",
    "math.MP"
  ],
  "abstract": "We introduce and study the domain wall boundary partition function of the integrable six-vertex model with triangular boundary. We first formulate the domain wall boundary partition function with triangular boundary by using the $U_q(sl_2)$ $R$-matrix and a special class of the triangular $K$-matrix. By using its graphical representation, we make the Izergin-Korepin analysis with the help of the Yang-Baxter relation and the reflection equation to give a characterization of the partition function. The explict form of the symmetric function representing the partition function is presented by showing that it satisfies all the required properties.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-03-18T04:37:51.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "domain wall boundary partition function",
      "triangular boundary",
      "first formulate",
      "integrable six-vertex model",
      "special class"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 20,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}