{
  "id": "math-ph/0703087",
  "version": "v1",
  "published": "2007-03-29T16:55:05.000Z",
  "updated": "2007-03-29T16:55:05.000Z",
  "title": "The Rotor Model with spectral parameters and enumerations of Alternating Sign Matrices",
  "authors": [
    "Luigi Cantini"
  ],
  "comment": "25 pages",
  "doi": "10.1088/1742-5468/2007/08/P08012",
  "categories": [
    "math-ph",
    "math.CO",
    "math.MP"
  ],
  "abstract": "In this paper we study the Rotor Model of Martins and Nienhuis. After introducing spectral parameters, a combined use of integrability, polynomiality of the ground state wave function and a mapping into the fully-packed O(1)-model allows us to determine the sum rule and a family of maximally nested components for different boundary conditions. We see in this way the appearance of 3-enumerations of Alternating Sign Matrices.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2007-03-29T16:55:05.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "alternating sign matrices",
      "rotor model",
      "ground state wave function",
      "enumerations",
      "introducing spectral parameters"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 25,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}