{
  "id": "1010.3699",
  "version": "v2",
  "published": "2010-10-18T20:00:03.000Z",
  "updated": "2011-02-28T10:04:33.000Z",
  "title": "Baxter Q-Operators and Representations of Yangians",
  "authors": [
    "Vladimir V. Bazhanov",
    "Rouven Frassek",
    "Tomasz Lukowski",
    "Carlo Meneghelli",
    "Matthias Staudacher"
  ],
  "comment": "27 pages, 5 figures; v2: typos fixed, references updated and added",
  "journal": "Nucl.Phys.B850:148-174,2011",
  "doi": "10.1016/j.nuclphysb.2011.04.006",
  "categories": [
    "math-ph",
    "cond-mat.stat-mech",
    "hep-th",
    "math.MP"
  ],
  "abstract": "We develop a new approach to Baxter Q-operators by relating them to the theory of Yangians, which are the simplest examples for quantum groups. Here we open up a new chapter in this theory and study certain degenerate solutions of the Yang-Baxter equation connected with harmonic oscillator algebras. These infinite-state solutions of the Yang-Baxter equation serve as elementary, \"partonic\" building blocks for other solutions via the standard fusion procedure. As a first example of the method we consider sl(n) compact spin chains and derive the full hierarchy of operatorial functional equations for all related commuting transfer matrices and Q-operators. This leads to a systematic and transparent solution of these chains, where the nested Bethe equations are derived in an entirely algebraic fashion, without any reference to the traditional Bethe ansatz techniques.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2011-02-28T10:04:33.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "baxter q-operators",
      "traditional bethe ansatz techniques",
      "representations",
      "harmonic oscillator algebras",
      "yang-baxter equation serve"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "Elsevier",
      "journal": "Nuclear Physics B",
      "year": 2011,
      "month": "Sep",
      "volume": 850,
      "number": 1,
      "pages": 148
    },
    "note": {
      "typesetting": "TeX",
      "pages": 27,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "inspire": 873566,
      "adsabs": "2011NuPhB.850..148B"
    }
  }
}