{
  "id": "1412.3383",
  "version": "v1",
  "published": "2014-12-10T17:43:29.000Z",
  "updated": "2014-12-10T17:43:29.000Z",
  "title": "New elliptic solutions of the Yang-Baxter equation",
  "authors": [
    "D. Chicherin",
    "S. E. Derkachov",
    "V. P. Spiridonov"
  ],
  "comment": "31 pages",
  "categories": [
    "math-ph",
    "hep-th",
    "math.MP",
    "math.QA"
  ],
  "abstract": "We consider finite-dimensional reductions of the most general known solution of the Yang-Baxter equation with a rank 1 symmetry algebra, which is described by an integral operator with an elliptic hypergeometric kernel. The reduced R-operators reproduce at their bottom the standard Baxter's R-matrix for the 8-vertex model and Sklyanin's L-operator. The general formula has a remarkably compact form and yields new elliptic solutions of the Yang-Baxter equation based on the finite-dimensional representations of the elliptic modular double. The same result is reproduced using the fusion formalism.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2014-12-10T17:43:29.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "yang-baxter equation",
      "elliptic solutions",
      "elliptic hypergeometric kernel",
      "standard baxters r-matrix",
      "symmetry algebra"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 31,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "inspire": 1333699,
      "adsabs": "2014arXiv1412.3383C"
    }
  }
}