{
  "id": "hep-th/9204085",
  "version": "v2",
  "published": "1992-04-24T11:03:02.000Z",
  "updated": "1992-05-19T12:35:37.000Z",
  "title": "Minimal Models from W-Constrained Hierarchies via the Kontsevich-Miwa Transform",
  "authors": [
    "B. ~Gato-Rivera",
    "A. ~M. ~Semikhatov"
  ],
  "comment": "11 pp REVISED (minor changes in the presentation, easier to read)",
  "journal": "Phys.Lett. B288 (1992) 38-46",
  "doi": "10.1016/0370-2693(92)91951-5",
  "categories": [
    "hep-th"
  ],
  "abstract": "A direct relation between the conformal formalism for 2d-quantum gravity and the W-constrained KP hierarchy is found, without the need to invoke intermediate matrix model technology. The Kontsevich-Miwa transform of the KP hierarchy is used to establish an identification between W constraints on the KP tau function and decoupling equations corresponding to Virasoro null vectors. The Kontsevich-Miwa transform maps the $W^{(l)}$-constrained KP hierarchy to the $(p^\\prime,p)$ minimal model, with the tau function being given by the correlator of a product of (dressed) $(l,1)$ (or $(1,l)$) operators, provided the Miwa parameter $n_i$ and the free parameter (an abstract $bc$ spin) present in the constraints are expressed through the ratio $p^\\prime/p$ and the level $l$.",
  "revisions": [
    {
      "version": "v2",
      "updated": "1992-05-19T12:35:37.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "minimal model",
      "w-constrained hierarchies",
      "invoke intermediate matrix model technology",
      "virasoro null vectors",
      "kp tau function"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 11,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "inspire": 333874
    }
  }
}