{
  "id": "1803.07628",
  "version": "v1",
  "published": "2018-03-20T20:01:48.000Z",
  "updated": "2018-03-20T20:01:48.000Z",
  "title": "On Bethe vectors in $\\mathfrak{gl}_3$-invariant integrable models",
  "authors": [
    "A. Liashyk",
    "N. A. Slavnov"
  ],
  "comment": "31 pages, no figures",
  "categories": [
    "math-ph",
    "math.MP"
  ],
  "abstract": "We consider quantum integrable models solvable by the nested algebraic Bethe ansatz and possessing $\\mathfrak{gl}_3$-invariant $R$-matrix. We study a new recently proposed approach to construct on-shell Bethe vectors of these models. We prove that the vectors constructed by this method are semi-on-shell Bethe vectors for arbitrary values of Bethe parameters. They thus do become on-shell vectors provided the system of Bethe equations is fulfilled.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2018-03-20T20:01:48.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "invariant integrable models",
      "construct on-shell bethe vectors",
      "semi-on-shell bethe vectors",
      "nested algebraic bethe ansatz",
      "quantum integrable models"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 31,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}