{
  "id": "cond-mat/9811005",
  "version": "v1",
  "published": "1998-11-02T23:50:32.000Z",
  "updated": "1998-11-02T23:50:32.000Z",
  "title": "Landau-Ginzburg Theories for Non-Abelian Quantum Hall States",
  "authors": [
    "Eduardo Fradkin",
    "Chetan Nayak",
    "Kareljan Schoutens"
  ],
  "comment": "11 pages",
  "journal": "Nucl.Phys. B546 (1999) 711-730",
  "doi": "10.1016/S0550-3213(99)00039-5",
  "categories": [
    "cond-mat.mes-hall",
    "cond-mat.str-el"
  ],
  "abstract": "We construct Landau-Ginzburg effective field theories for fractional quantum Hall states -- such as the Pfaffian state -- which exhibit non-Abelian statistics. These theories rely on a Meissner construction which increases the level of a non-Abelian Chern-Simons theory while simultaneously projecting out the unwanted degrees of freedom of a concomitant enveloping Abelian theory. We describe this construction in the context of a system of bosons at Landau level filling factor $\\nu=1$, where the non-Abelian symmetry is a dynamically-generated SU(2) continuous extension of the discrete particle-hole symmetry of the lowest Landau level. We show how the physics of quasiparticles and their non-Abelian statistics arises in this Landau-Ginzburg theory. We describe its relation to edge theories -- where a coset construction plays the role of the Meissner projection -- and discuss extensions to other states.",
  "revisions": [
    {
      "version": "v1",
      "updated": "1998-11-02T23:50:32.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "73.40.Hm",
      "73.20.Dx"
    ],
    "keywords": [
      "non-abelian quantum hall states",
      "landau-ginzburg theory",
      "fractional quantum hall states",
      "non-abelian statistics",
      "construct landau-ginzburg effective field theories"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "Elsevier",
      "journal": "Nucl. Phys. B"
    },
    "note": {
      "typesetting": "TeX",
      "pages": 11,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "inspire": 479212
    }
  }
}