{
  "id": "1112.3600",
  "version": "v1",
  "published": "2011-12-15T18:40:44.000Z",
  "updated": "2011-12-15T18:40:44.000Z",
  "title": "Baxter Operators and Hamiltonians for \"nearly all\" Integrable Closed gl(n) Spin Chains",
  "authors": [
    "Rouven Frassek",
    "Tomasz Lukowski",
    "Carlo Meneghelli",
    "Matthias Staudacher"
  ],
  "comment": "26 pages, 1 figure",
  "categories": [
    "math-ph",
    "hep-th",
    "math.MP"
  ],
  "abstract": "We continue our systematic construction of Baxter Q-operators for spin chains, which is based on certain degenerate solutions of the Yang-Baxter equation. Here we generalize our approach from the fundamental representation of gl(n) to generic finite-dimensional representations in quantum space. The results equally apply to non-compact representations of highest or lowest weight type. We furthermore fill an apparent gap in the literature, and provide the nearest-neighbor Hamiltonians of the spin chains in question for all cases where the gl(n) representations are described by rectangular Young diagrams, as well as for their infinite-dimensional generalizations. They take the form of digamma functions depending on operator-valued shifted weights.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2011-12-15T18:40:44.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "spin chains",
      "integrable closed gl",
      "baxter operators",
      "rectangular young diagrams",
      "lowest weight type"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "doi": "10.1016/j.nuclphysb.2013.06.006"
    },
    "note": {
      "typesetting": "TeX",
      "pages": 26,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "inspire": 1081545,
      "adsabs": "2011arXiv1112.3600F"
    }
  }
}