{
  "id": "1402.0651",
  "version": "v2",
  "published": "2014-02-04T08:01:47.000Z",
  "updated": "2014-03-25T01:10:46.000Z",
  "title": "Singular Solutions to the Bethe Ansatz Equations and Rigged Configurations",
  "authors": [
    "Anatol N. Kirillov",
    "Reiho Sakamoto"
  ],
  "comment": "24 pages, final version, elucidated the relationship between the rigged configurations and string solutions (Section 3.1)",
  "journal": "J. Phys. A: Math. Theor. 47 (2014) 205207 (20pp)",
  "doi": "10.1088/1751-8113/47/20/205207",
  "categories": [
    "math-ph",
    "math.MP"
  ],
  "abstract": "We provide a conjecture for the following two quantities related with the spin-$\\frac{1}{2}$ isotropic Heisenberg model defined over rings of even lengths: (i) the number of the solutions to the Bethe ansatz equations which correspond to non-zero Bethe vectors; (ii) the number of physical singular solutions of the Bethe ansatz equations in the sense of Nepomechie-Wang. The conjecture is based on a natural relationship between the solutions to the Bethe ansatz equations and the rigged configurations.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2014-03-25T01:10:46.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "bethe ansatz equations",
      "rigged configurations",
      "non-zero bethe vectors",
      "physical singular solutions",
      "isotropic heisenberg model"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "journal": "Journal of Physics A Mathematical General",
      "year": 2014,
      "month": "May",
      "volume": 47,
      "number": 20,
      "pages": 205207
    },
    "note": {
      "typesetting": "TeX",
      "pages": 24,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2014JPhA...47t5207K"
    }
  }
}