{
  "id": "0902.1273",
  "version": "v2",
  "published": "2009-02-07T21:49:42.000Z",
  "updated": "2009-05-23T10:41:46.000Z",
  "title": "Free Field Realizations of the Elliptic Affine Lie Algebra sl(2,R)+Ω_R/dR",
  "authors": [
    "Andre Bueno",
    "Ben Cox",
    "Vyacheslav Futorny"
  ],
  "comment": "updated version",
  "categories": [
    "math.RT",
    "math-ph",
    "math.MP"
  ],
  "abstract": "In this paper we construct two free field realizations of the elliptic affine Lie algebra sl(2,R) + \\Omega_R/dR, where R=C[t,t^{-1},u|u^2=t^3 - 2b t^2 + t]. The first realization gives an analogue of Wakimoto's construction for Affine Kac-Moody algebras, but in the setting of the elliptic affine Lie algebra. The second realization gives new type of representations analogous to Imaginary Verma modules in the Affine setting.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2009-05-23T10:41:46.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "17B67",
      "81R10"
    ],
    "keywords": [
      "free field realizations",
      "elliptic affine lie algebra sl",
      "affine kac-moody algebras",
      "imaginary verma modules",
      "wakimotos construction"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "inspire": 1226037,
      "adsabs": "2009arXiv0902.1273B"
    }
  }
}