{
  "id": "1406.0662",
  "version": "v1",
  "published": "2014-06-03T10:49:23.000Z",
  "updated": "2014-06-03T10:49:23.000Z",
  "title": "Q-operators in the six-vertex model",
  "authors": [
    "Vladimir V. Mangazeev"
  ],
  "comment": "18 pages, no figures",
  "journal": "Nuclear Physics, B, v. 886, p. 166-184 (2014)",
  "doi": "10.1016/j.nuclphysb.2014.06.024",
  "categories": [
    "math-ph",
    "hep-th",
    "math.MP",
    "math.QA"
  ],
  "abstract": "In this paper we continue the study of $Q$-operators in the six-vertex model and its higher spin generalizations. In [1] we derived a new expression for the higher spin $R$-matrix associated with the affine quantum algebra $U_q(\\widehat{sl(2)})$. Taking a special limit in this $R$-matrix we obtained new formulas for the $Q$-operators acting in the tensor product of representation spaces with arbitrary complex spin. Here we use a different strategy and construct $Q$-operators as integral operators with factorized kernels based on the original Baxter's method used in the solution of the eight-vertex model. We compare this approach with the method developed in [1] and find the explicit connection between two constructions. We also discuss a reduction to the case of finite-dimensional representations with (half-) integer spins.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2014-06-03T10:49:23.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "six-vertex model",
      "q-operators",
      "original baxters method",
      "affine quantum algebra",
      "arbitrary complex spin"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "Elsevier",
      "journal": "Nuclear Physics B",
      "year": 2014,
      "month": "Sep",
      "volume": 886,
      "pages": 166
    },
    "note": {
      "typesetting": "TeX",
      "pages": 18,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "inspire": 1299013,
      "adsabs": "2014NuPhB.886..166M"
    }
  }
}