{
  "id": "2104.04651",
  "version": "v1",
  "published": "2021-04-10T00:12:20.000Z",
  "updated": "2021-04-10T00:12:20.000Z",
  "title": "A combinatorial description of certain polynomials related to the XYZ spin chain. II. The polynomials $p_n$",
  "authors": [
    "Linnea Hietala"
  ],
  "comment": "21 pages. arXiv admin note: text overlap with arXiv:2004.09924",
  "categories": [
    "math-ph",
    "math.CO",
    "math.MP"
  ],
  "abstract": "By specializing the parameters in the partition function of the 8VSOS model with domain wall boundary conditions and diagonal reflecting end, we find connections between the three-color model and certain polynomials $p_n(z)$ of Bazhanov and Mangazeev appearing in the eigenvectors of the Hamiltonian of the XYZ spin chain. This work is a continuation of a previous paper where we investigated the related polynomials $q_n(z)$ of Bazhanov and Mangazeev, also appearing in the eigenvectors of the XYZ spin chain.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2021-04-10T00:12:20.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "82B23",
      "05A15",
      "33E17"
    ],
    "keywords": [
      "xyz spin chain",
      "polynomials",
      "combinatorial description",
      "domain wall boundary conditions",
      "partition function"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 21,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}