{
  "id": "2212.11129",
  "version": "v1",
  "published": "2022-12-21T15:57:07.000Z",
  "updated": "2022-12-21T15:57:07.000Z",
  "title": "Arctic curves of the 20V model on a triangle",
  "authors": [
    "Philippe Di Francesco"
  ],
  "comment": "36 pages, 32 figures",
  "categories": [
    "math-ph",
    "math.CO",
    "math.MP",
    "math.PR"
  ],
  "abstract": "We apply the Tangent Method of Colomo and Sportiello to predict the arctic curves of the Twenty Vertex model with specific domain wall boundary conditions on a triangle, in the Disordered phase, leading to a phase diagram with six types of frozen phases and one liquid one. The result relies on a relation to the Six Vertex model with domain wall boundary conditions and suitable weights, as a consequence of integrability. We also perform the exact refined enumeration of configurations.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2022-12-21T15:57:07.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "arctic curves",
      "20v model",
      "specific domain wall boundary conditions",
      "vertex model",
      "phase diagram"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 36,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}