{
  "id": "hep-th/9109029",
  "version": "v1",
  "published": "1991-09-18T12:05:03.000Z",
  "updated": "1991-09-18T12:05:03.000Z",
  "title": "Beyond the Large N Limit: Non-linear W(infinity) as symmetry of the SL(2,R)/U(1) coset model",
  "authors": [
    "I. Bakas",
    "E. Kiritsis"
  ],
  "comment": "29pp",
  "journal": "Int.J.Mod.Phys. A7S1A (1992) 55-81; Int.J.Mod.Phys. A7 (1992) 55-81",
  "categories": [
    "hep-th"
  ],
  "abstract": "We show that the symmetry algebra of the $SL(2,R)_{k}/U(1)$ coset model is a non-linear deformation of $W_{\\infty}$, characterized by $k$. This is a universal $W$-algebra which linearizes in the large $k$ limit and truncates to $W_{N}$ for $k=-N$. Using the theory of non-compact parafermions we construct a free field realization of the non-linear $W_{\\infty}$ in terms of two bosons with background charge. The $W$-characters of all unitary $SL(2,R)/U(1)$ representations are computed. Applications to the physics of 2-d black hole backgrounds are also discussed and connections with the KP approach to $c=1$ string theory are outlined.",
  "revisions": [
    {
      "version": "v1",
      "updated": "1991-09-18T12:05:03.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "coset model",
      "black hole backgrounds",
      "free field realization",
      "non-linear deformation",
      "kp approach"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "doi": "10.1142/S0217751X92003720",
      "journal": "International Journal of Modern Physics A",
      "year": 1992,
      "volume": 7,
      "pages": 55
    },
    "note": {
      "typesetting": "TeX",
      "pages": 29,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "inspire": 318478,
      "adsabs": "1992IJMPA...7S..55B"
    }
  }
}