{
  "id": "1606.03573",
  "version": "v1",
  "published": "2016-06-11T09:47:54.000Z",
  "updated": "2016-06-11T09:47:54.000Z",
  "title": "Scalar products of Bethe vectors in models with $\\mathfrak{gl}(2|1)$ symmetry 2. Determinant representation",
  "authors": [
    "A. Hutsalyuk",
    "A. Liashyk",
    "S. Z. Pakuliak",
    "E. Ragoucy",
    "N. A. Slavnov"
  ],
  "comment": "22 pages",
  "categories": [
    "math-ph",
    "cond-mat.str-el",
    "hep-th",
    "math.MP"
  ],
  "abstract": "We study integrable models with $\\mathfrak{gl}(2|1)$ symmetry and solvable by nested algebraic Bethe ansatz. We obtain a determinant representation for scalar products of Bethe vectors, when the Bethe parameters obey some relations weaker than the Bethe equations. This representation allows us to find the norms of on-shell Bethe vectors and obtain determinant formulas for form factors of the diagonal entries of the monodromy matrix.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2016-06-11T09:47:54.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "scalar products",
      "determinant representation",
      "on-shell bethe vectors",
      "bethe parameters obey",
      "nested algebraic bethe ansatz"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 22,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}