{
  "id": "cond-mat/0011143",
  "version": "v1",
  "published": "2000-11-08T18:26:27.000Z",
  "updated": "2000-11-08T18:26:27.000Z",
  "title": "Effective Chern-Simons Theories of Pfaffian and Parafermionic Quantum Hall States, and Orbifold Conformal Field Theories",
  "authors": [
    "Eduardo Fradkin",
    "Marina Huerta",
    "Guillermo Zemba"
  ],
  "journal": "Nucl.Phys. B601 (2001) 591-606",
  "doi": "10.1016/S0550-3213(01)00077-3",
  "categories": [
    "cond-mat.mes-hall",
    "hep-th"
  ],
  "abstract": "We present a pure Chern-Simons formulation of families of interesting Conformal Field Theories describing edge states of non-Abelian Quantum Hall states. These theories contain two Abelian Chern-Simons fields describing the electromagnetically charged and neutral sectors of these models, respectively. The charged sector is the usual Abelian Chern-Simons theory that successfully describes Laughlin-type incompressible fluids. The neutral sector is a 2+1-dimensional theory analogous to the 1+1-dimensional orbifold conformal field theories. It is based on the gauge group O(2) which contains a ${\\bf Z}_2$ disconnected group manifold, which is the salient feature of this theory. At level q, the Abelian theory of the neutral sector gives rise to a ${\\bf Z}_{2q}$ symmetry, which is further reduced by imposing the ${\\bf Z}_2$ symmetry of charge-conjugation invariance. The remaining ${\\bf Z}_q$ symmetry of the neutral sector is the origin of the non-Abelian statistics of the (fermionic) q-Pfaffian states.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2000-11-08T18:26:27.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "orbifold conformal field theories",
      "parafermionic quantum hall states",
      "effective chern-simons theories",
      "chern-simons theory",
      "neutral sector"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "Elsevier",
      "journal": "Nucl. Phys. B"
    },
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "inspire": 536682
    }
  }
}