{
  "id": "math-ph/0607062",
  "version": "v2",
  "published": "2006-07-27T10:13:37.000Z",
  "updated": "2006-09-05T06:21:03.000Z",
  "title": "The emergence of the Virasoro and $w_{\\infty}$ algebras through the renormalized powers of quantum white noise",
  "authors": [
    "Luigi Accardi",
    "Andreas Boukas"
  ],
  "comment": "corrected typos; Submitted to International Journal of Mathematics and Computer Science in June 2006",
  "categories": [
    "math-ph",
    "math.MP"
  ],
  "abstract": "We introduce a new renormalization for the powers of the Dirac delta function. We show that this new renormalization leads to a second quantized version of the Virasoro sector $w_{\\infty}$ of the extended conformal algebra with infinite symmetries $W_{\\infty}$ of Conformal Field Theory. In particular we construct a white noise (boson) representation of the $w_{\\infty}$ generators and commutation relations and of their second quantization.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2006-09-05T06:21:03.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "81S05",
      "60H40"
    ],
    "keywords": [
      "quantum white noise",
      "renormalized powers",
      "dirac delta function",
      "conformal field theory",
      "second quantized version"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "inspire": 722753,
      "adsabs": "2006math.ph...7062A"
    }
  }
}