{
  "id": "1404.7148",
  "version": "v2",
  "published": "2014-04-28T20:00:38.000Z",
  "updated": "2015-02-15T16:19:58.000Z",
  "title": "Localization of free field realizations of affine Lie algebras",
  "authors": [
    "Vyacheslav Futorny",
    "Dimitar Grantcharov",
    "Renato A. Martins"
  ],
  "comment": "18 pages, minor changes made, to appear in Lett. Math. Phys",
  "categories": [
    "math.RT"
  ],
  "abstract": "We use localization technique to construct new families of irreducible modules of affine Kac-Moody algebras. In particular, localization is applied to the first free field realization of the affine Lie algebra A_1^{(1)} or, equivalently, to imaginary Verma modules.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2014-04-28T20:00:38.000Z",
      "comment": "18 pages",
      "journal": null,
      "doi": null
    },
    {
      "version": "v2",
      "updated": "2015-02-15T16:19:58.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "17B67",
      "81R10"
    ],
    "keywords": [
      "affine lie algebra",
      "first free field realization",
      "imaginary verma modules",
      "affine kac-moody algebras",
      "localization technique"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "doi": "10.1007/s11005-015-0752-3",
      "journal": "Letters in Mathematical Physics",
      "year": 2015,
      "month": "Apr",
      "pages": 483,
      "volume": 105,
      "number": 4
    },
    "note": {
      "typesetting": "TeX",
      "pages": 18,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "inspire": 1293069,
      "adsabs": "2015LMaPh.105..483F"
    }
  }
}