{
  "id": "cond-mat/9701212",
  "version": "v2",
  "published": "1997-01-30T00:38:23.000Z",
  "updated": "1997-03-05T00:08:56.000Z",
  "title": "The Haldane-Rezayi Quantum Hall State and Conformal Field Theory",
  "authors": [
    "V. Gurarie",
    "M. Flohr",
    "C. Nayak"
  ],
  "comment": "37 pages, LaTeX. Some references added, minor changes at the end of section V",
  "journal": "Nucl.Phys. B498 (1997) 513-538",
  "doi": "10.1016/S0550-3213(97)00351-9",
  "categories": [
    "cond-mat.mes-hall",
    "hep-th"
  ],
  "abstract": "We propose field theories for the bulk and edge of a quantum Hall state in the universality class of the Haldane-Rezayi wavefunction. The bulk theory is associated with the $c=-2$ conformal field theory. The topological properties of the state, such as the quasiparticle braiding statistics and ground state degeneracy on a torus, may be deduced from this conformal field theory. The 10-fold degeneracy on a torus is explained by the existence of a logarithmic operator in the $c=-2$ theory; this operator corresponds to a novel bulk excitation in the quantum Hall state. We argue that the edge theory is the $c=1$ chiral Dirac fermion, which is related in a simple way to the $c=-2$ theory of the bulk. This theory is reformulated as a truncated version of a doublet of Dirac fermions in which the $SU(2)$ symmetry -- which corresponds to the spin-rotational symmetry of the quantum Hall system -- is manifest and non-local. We make predictions for the current-voltage characteristics for transport through point contacts.",
  "revisions": [
    {
      "version": "v2",
      "updated": "1997-03-05T00:08:56.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "73.40.Hm",
      "73.20.Dx",
      "11.25.Hf"
    ],
    "keywords": [
      "conformal field theory",
      "haldane-rezayi quantum hall state",
      "quantum hall system",
      "ground state degeneracy",
      "chiral dirac fermion"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "Elsevier",
      "journal": "Nucl. Phys. B"
    },
    "note": {
      "typesetting": "LaTeX",
      "pages": 37,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "inspire": 441254
    }
  }
}