{
  "id": "1509.06205",
  "version": "v1",
  "published": "2015-09-21T12:42:18.000Z",
  "updated": "2015-09-21T12:42:18.000Z",
  "title": "An algebraic approach to the Hubbard model",
  "authors": [
    "Marius de Leeuw",
    "Vidas Regelskis"
  ],
  "comment": "9 pages",
  "categories": [
    "math-ph",
    "cond-mat.str-el",
    "hep-th",
    "math.MP",
    "nlin.SI"
  ],
  "abstract": "We study the algebraic structure of an integrable Hubbard-Shastry type lattice model associated with the centrally extended su(2|2) superalgebra. This superalgebra underlies Beisert's AdS/CFT worldsheet R-matrix and Shastry's R-matrix. The considered model specializes to the one-dimensional Hubbard model in a certain limit. We demonstrate that Yangian symmetries of the R-matrix specialize to the Yangian symmetry of the Hubbard model found by Korepin and Uglov. Moreover, we show that the Hubbard model Hamiltonian has an algebraic interpretation as the so-called secret symmetry. We also discuss Yangian symmetries of the A and B models introduced by Frolov and Quinn.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2015-09-21T12:42:18.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "hubbard model",
      "algebraic approach",
      "hubbard-shastry type lattice model",
      "yangian symmetry",
      "superalgebra underlies beiserts ads/cft worldsheet"
    ],
    "publication": {
      "doi": "10.1016/j.physleta.2015.12.013"
    },
    "note": {
      "typesetting": "TeX",
      "pages": 9,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "inspire": 1394218
    }
  }
}