{
  "id": "1510.01053",
  "version": "v1",
  "published": "2015-10-05T07:24:21.000Z",
  "updated": "2015-10-05T07:24:21.000Z",
  "title": "Integrability of Limit Shapes of the Six Vertex Model",
  "authors": [
    "Nicolai Reshetikhin",
    "Ananth Sridhar"
  ],
  "categories": [
    "math-ph",
    "cond-mat.stat-mech",
    "hep-th",
    "math.MP"
  ],
  "abstract": "The main result of this paper is the construction of infinitely many conserved quantities (corresponding to commuting transfer-matrices) for the limit shape equation for the 6-vertex model on a cylinder. This suggests that the limit shape equation is an integrable PDE with gradient constraints. At the free fermionic point this equation becomes the complex Burgers equation.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2015-10-05T07:24:21.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "vertex model",
      "limit shape equation",
      "integrability",
      "complex burgers equation",
      "free fermionic point"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2015arXiv151001053R",
      "inspire": 1396178
    }
  }
}