{
  "id": "math-ph/0204002",
  "version": "v1",
  "published": "2002-04-02T00:42:21.000Z",
  "updated": "2002-04-02T00:42:21.000Z",
  "title": "The Rotor Model and Combinatorics",
  "authors": [
    "M. T. Batchelor",
    "J. de Gier",
    "B. Nienhuis"
  ],
  "comment": "7 pages, Latex, WSPC macros, dedicated to Fred Wu's 70th birthday",
  "journal": "Int. J. Mod. Phys. B 16 (2002) 1883-1890",
  "doi": "10.1142/S0217979202011597",
  "categories": [
    "math-ph",
    "cond-mat.stat-mech",
    "math.CO",
    "math.MP"
  ],
  "abstract": "We examine the groundstate wavefunction of the rotor model for different boundary conditions. Three conjectures are made on the appearance of numbers enumerating alternating sign matrices. In addition to those occurring in the O($n=1$) model we find the number $A_{\\rm V}(2m+1;3)$, which 3-enumerates vertically symmetric alternating sign matrices.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2002-04-02T00:42:21.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "82B23",
      "05A15"
    ],
    "keywords": [
      "rotor model",
      "combinatorics",
      "vertically symmetric alternating sign matrices",
      "numbers enumerating alternating sign matrices",
      "boundary conditions"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "journal": "International Journal of Modern Physics B",
      "year": 2002,
      "volume": 16,
      "number": "14-15",
      "pages": 1883
    },
    "note": {
      "typesetting": "LaTeX",
      "pages": 7,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2002IJMPB..16.1883B"
    }
  }
}