{
  "id": "1401.4355",
  "version": "v1",
  "published": "2014-01-17T14:17:05.000Z",
  "updated": "2014-01-17T14:17:05.000Z",
  "title": "Scalar products in models with $GL(3)$ trigonometric $R$-matrix. General case",
  "authors": [
    "S. Pakuliak",
    "E. Ragoucy",
    "N. A. Slavnov"
  ],
  "comment": "23 pages",
  "categories": [
    "math-ph",
    "hep-th",
    "math.MP"
  ],
  "abstract": "We study quantum integrable models with $GL(3)$ trigonometric $R$-matrix solvable by the nested algebraic Bethe ansatz. We analyze scalar products of generic Bethe vectors and obtain an explicit representation for them in terms of a sum with respect to partitions of Bethe parameters. This representation generalizes known formula for the scalar products in the models with $GL(3)$-invariant $R$-matrix.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2014-01-17T14:17:05.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "81R50",
      "17B80"
    ],
    "keywords": [
      "general case",
      "trigonometric",
      "study quantum integrable models",
      "nested algebraic bethe ansatz",
      "generic bethe vectors"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "doi": "10.1007/s11232-014-0145-2",
      "journal": "Theoretical and Mathematical Physics",
      "year": 2014,
      "month": "Jul",
      "volume": 180,
      "number": 1,
      "pages": 795
    },
    "note": {
      "typesetting": "TeX",
      "pages": 23,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "inspire": 1278087,
      "adsabs": "2014TMP...180..795P"
    }
  }
}