{
  "id": "math-ph/0608047",
  "version": "v2",
  "published": "2006-08-20T16:11:37.000Z",
  "updated": "2006-09-05T06:13:24.000Z",
  "title": "Renormalized Higher Powers of White Noise (RHPWN) and Conformal Field Theory",
  "authors": [
    "Luigi Accardi",
    "Andreas Boukas"
  ],
  "comment": "Replaced title and abstract and corrected typos; To appear in Infinite Dimensional Analysis, Quantum Probability, and Related Topics (2006)",
  "categories": [
    "math-ph",
    "math.MP"
  ],
  "abstract": "The Virasoro--Zamolodchikov Lie algebra $w_{\\infty}$ has been widely studied in string theory and in conformal field theory, motivated by the attempts of developing a satisfactory theory of quantization of gravity. The renormalized higher powers of quantum white noise (RHPWN) *-Lie algebra has been recently investigated in quantum probability, motivated by the attempts to develop a nonlinear generalization of stochastic and white noise analysis. We prove that, after introducing a new renormalization technique, the RHPWN Lie algebra includes a second quantization of the $w_{\\infty}$ algebra. Arguments discussed at the end of this note suggest the conjecture that this inclusion is in fact an identification",
  "revisions": [
    {
      "version": "v2",
      "updated": "2006-09-05T06:13:24.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "60H40",
      "81T40"
    ],
    "keywords": [
      "conformal field theory",
      "renormalized higher powers",
      "virasoro-zamolodchikov lie algebra",
      "quantum white noise",
      "white noise analysis"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "inspire": 724396,
      "adsabs": "2006math.ph...8047A"
    }
  }
}