2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/52439We 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.10 pages, 3 figures, contribution to the proceedings of the Fifth Int. Workshop "Lie Theory and its Applications in Physics", June 2003, Varna, BulgariaHigh Energy Physics - Theorytext