The Diagonal Affine Coset Construction of the Z_k Parafermion Hall States

Details The Diagonal Affine Coset Construction of the Z_k Parafermion Hall States The Diagonal Affine Coset Construction of the Z_k Parafermion Hall States

2004-02-20

arxiv.org/abs/hep-th/0402159v1

Physics

High Energy Physics

High Energy Physics - Theory

10 pages, 3 figures, contribution to the proceedings of the Fifth Int. Workshop "Lie Theory and its Applications in Physics",

Scientific paper

We construct the Z_k parafermions as diagonal affine cosets and apply them to
the quantum Hall effect. This realization is particularly convenient for the
analysis of the Z_k pairing rules, the modular S-matrices, the W_k symmetry and
quantum group symmetry. The results are used for the computation of the
mesoscopic chiral persistent currents in presence of Aharonov-Bohm flux.

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