{
  "id": "2104.05389",
  "version": "v1",
  "published": "2021-04-12T12:14:34.000Z",
  "updated": "2021-04-12T12:14:34.000Z",
  "title": "Exact results for the six-vertex model with domain wall boundary conditions and a partially reflecting end",
  "authors": [
    "Linnea Hietala"
  ],
  "comment": "31 pages",
  "categories": [
    "math-ph",
    "math.MP"
  ],
  "abstract": "The trigonometric six-vertex model with domain wall boundary conditions and one partially reflecting end on a lattice of size $2n\\times m$, $m\\leq n$, is considered. The partition function is computed using the Izergin-Korepin method, generalizing the result of Foda and Zarembo from the rational to the trigonometric case. Thereafter we specify the parameters in Kuperberg's way to get a formula for the number of states as a determinant of Wilson polynomials. We relate this to a type of ASM-like matrices.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2021-04-12T12:14:34.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "82B23",
      "05A15",
      "33C45"
    ],
    "keywords": [
      "domain wall boundary conditions",
      "partially reflecting end",
      "exact results",
      "trigonometric six-vertex model",
      "partition function"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 31,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}