{
  "id": "hep-th/9112009",
  "version": "v1",
  "published": "1991-12-04T20:58:37.000Z",
  "updated": "1991-12-04T20:58:37.000Z",
  "title": "Nonlinear $\\hat{W}_{\\infty}$ Current Algebra in the SL(2,R)/U(1) Coset Model",
  "authors": [
    "Feng Yu",
    "Yong-Shi Wu"
  ],
  "comment": "11p",
  "journal": "Phys.Rev.Lett. 68 (1992) 2996-2999; Erratum-ibid. 69 (1992) 554",
  "doi": "10.1103/PhysRevLett.69.554",
  "categories": [
    "hep-th"
  ],
  "abstract": "Previously we have established that the second Hamiltonian structure of the KP hierarchy is a nonlinear deformation, called $\\hat{W}_{\\infty}$, of the linear, centerless $W_{\\infty}$ algebra. In this letter we present a free-field realization for all generators of $\\hat{W}_{\\infty}$ in terms of two scalars as well as an elegant generating function for the $\\hat{W}_{\\infty}$ currents in the classical conformal $SL(2,R)/U(1)$ coset model. After quantization, a quantum deformation of $\\hat{W}_{\\infty}$ appears as the hidden current algebra in this model. The $\\hat{W}_{\\infty}$ current algebra results in an infinite set of commuting conserved charges, which might give rise to $W$-hair for the 2d black hole arising in the corresponding string theory at level $k=9/4$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "1991-12-04T20:58:37.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "coset model",
      "hidden current algebra",
      "current algebra results",
      "second hamiltonian structure",
      "elegant generating function"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "APS",
      "journal": "Phys. Rev. Lett."
    },
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "inspire": 320846
    }
  }
}