{
  "id": "1909.06934",
  "version": "v1",
  "published": "2019-09-16T02:00:22.000Z",
  "updated": "2019-09-16T02:00:22.000Z",
  "title": "A class of partition functions associated with $E_{τ,γ}(gl_3)$ by Izergin-Korepin analysis",
  "authors": [
    "Kohei Motegi"
  ],
  "comment": "31 pages",
  "categories": [
    "math-ph",
    "math.MP"
  ],
  "abstract": "Recently, a class of partition functions associated with higher rank rational and trigonometric integrable models were introduced by Foda and Manabe. We use the dynamical $R$-matrix of the elliptic quantum group $E_{\\tau,\\gamma}(gl_3)$ to introduce an elliptic analogue of the partition functions associated with $E_{\\tau,\\gamma}(gl_3)$. We investigate the partition functions of Foda-Manabe type by developing a nested version of the elliptic Izergin-Korepin analysis, and present the explicit forms as symmetrization of multivariable elliptic functions.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2019-09-16T02:00:22.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "partition functions",
      "elliptic izergin-korepin analysis",
      "elliptic quantum group",
      "higher rank rational",
      "multivariable elliptic functions"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 31,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}