{
  "id": "hep-th/9411051",
  "version": "v2",
  "published": "1994-11-08T13:04:36.000Z",
  "updated": "1994-11-10T04:41:55.000Z",
  "title": "Anyon Basis of c=1 Conformal Field Theory",
  "authors": [
    "Satoshi Iso"
  ],
  "comment": "17 pages",
  "journal": "Nucl.Phys.B443:581-595,1995",
  "doi": "10.1016/0550-3213(95)00135-F",
  "categories": [
    "hep-th",
    "cond-mat"
  ],
  "abstract": "We study the $c=1$ conformal field theory of a free compactified boson with radius $r=\\sqrt{\\beta}$ ($\\beta$ is an integer). The Fock space of this boson is constructed in terms of anyon vertex operators and each state is labeled by an infinite set of pseudo-momenta of filled particles in pseudo-Dirac sea. Wave function of multi anyon state is described by an eigenfunction of the Calogero-Sutherland (CS) model. The $c=1$ conformal field theory at $r=\\sqrt{\\beta}$ gives a field theory of CS model. This is a natural generalization of the boson-fermion correspondence in one dimension to boson-anyon correspondence. There is also an interesting duality between anyon with statistics $\\theta=\\pi/\\beta$ and particle with statistics $\\theta=\\beta \\pi$.",
  "revisions": [
    {
      "version": "v2",
      "updated": "1994-11-10T04:41:55.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "conformal field theory",
      "anyon basis",
      "anyon vertex operators",
      "multi anyon state",
      "free compactified boson"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "Elsevier",
      "journal": "Nucl. Phys. B"
    },
    "note": {
      "typesetting": "TeX",
      "pages": 17,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "inspire": 379705
    }
  }
}