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artículo con referato
"Effective Chern-Simons theories of pfaffian and parafermionic quantum Hall states, and orbifold conformal field theories"
E.H. Fradkin, M. Huerta and G.R. Zemba
Nucl. Phys. B 601(3) (2001) 591-606
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 Z2 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 Zq symmetry, which is further reduced by imposing the Z2 symmetry of charge-conjugation invariance. The remaining Zq symmetry of the neutral sector is the origin of the non- Abelian statistics of the (fermionic) q-Pfaffian states.
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