{
  "id": "1902.08891",
  "version": "v1",
  "published": "2019-02-24T04:06:14.000Z",
  "updated": "2019-02-24T04:06:14.000Z",
  "title": "Off-diagonal Bethe Ansatz on the $so(5)$ spin chain",
  "authors": [
    "Guang-Liang Li",
    "Junpeng Cao",
    "Panpan Xue",
    "Kun Hao",
    "Pei Sun",
    "Wen-Li Yang",
    "Kangjie Shi",
    "Yupeng Wang"
  ],
  "comment": "41 pages, no figure",
  "categories": [
    "math-ph",
    "cond-mat.stat-mech",
    "hep-th",
    "math.MP"
  ],
  "abstract": "The $so(5)$ (i.e., $B_2$) quantum integrable spin chains with both periodic and non-diagonal boundaries are studied via the off-diagonal Bethe Ansatz method. By using the fusion technique, sufficient operator product identities (comparing to those in [1]) to determine the spectrum of the transfer matrices are derived. For the periodic case, we recover the results obtained in [1], while for the non-diagonal boundary case, a new inhomogeneous $T-Q$ relation is constructed. The present method can be directly generalized to deal with the $so(2n+1)$ (i.e., $B_n$) quantum integrable spin chains with general boundaries.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2019-02-24T04:06:14.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "quantum integrable spin chains",
      "off-diagonal bethe ansatz method",
      "sufficient operator product identities",
      "non-diagonal boundary case",
      "fusion technique"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 41,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}