{
  "id": "1308.4446",
  "version": "v2",
  "published": "2013-08-20T22:52:34.000Z",
  "updated": "2013-10-25T13:30:55.000Z",
  "title": "Algebraic Bethe ansatz for the six vertex model with upper triangular $K$-matrices",
  "authors": [
    "R. A. Pimenta",
    "A. Lima-Santos"
  ],
  "comment": "v2: Minor changes. Published version. 19 pages",
  "journal": "J. Phys. A: Math. Theor. 46 (2013) 455002",
  "doi": "10.1088/1751-8113/46/45/455002",
  "categories": [
    "math-ph",
    "math.MP",
    "nlin.SI"
  ],
  "abstract": "We consider a formulation of the algebraic Bethe ansatz for the six vertex model with non-diagonal open boundaries. Specifically, we study the case where both left and right $K$-matrices have an upper triangular form. We show that the main difficulty entailed by those form of the $K$-matrices is the construction of the excited states. However, it is possible to treat this problem with aid of an auxiliary transfer matrix and by means of a generalized creation operator.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2013-10-25T13:30:55.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "algebraic bethe ansatz",
      "vertex model",
      "auxiliary transfer matrix",
      "upper triangular form",
      "non-diagonal open boundaries"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "journal": "Journal of Physics A Mathematical General",
      "year": 2013,
      "month": "Nov",
      "volume": 46,
      "number": 45,
      "pages": 455002
    },
    "note": {
      "typesetting": "TeX",
      "pages": 19,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2013JPhA...46S5002P"
    }
  }
}