{
  "id": "2106.02098",
  "version": "v1",
  "published": "2021-06-03T19:38:59.000Z",
  "updated": "2021-06-03T19:38:59.000Z",
  "title": "Arctic curves of the Reflecting Boundary Six Vertex and of the Twenty Vertex models",
  "authors": [
    "Philippe Di Francesco"
  ],
  "comment": "71 pages, 23 figures",
  "categories": [
    "math-ph",
    "cond-mat.stat-mech",
    "math.CO",
    "math.MP",
    "math.PR"
  ],
  "abstract": "We apply the Tangent Method of Colomo and Sportiello to predict the arctic curves of the Six Vertex model with reflecting (U-turn) boundary and of the related Twenty Vertex model with suitable domain wall boundary conditions on a quadrangle, both in their Disordered phase. The results rely on a conjecture on the form of the thermodynamic free energy of the U-turn Six Vertex model, which we check on numerous examples.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2021-06-03T19:38:59.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "vertex model",
      "arctic curves",
      "reflecting boundary",
      "suitable domain wall boundary conditions",
      "thermodynamic free energy"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 71,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}