A twisted conformal field theory description of the Quantum Hall Effect

Details A twisted conformal field theory description of the Quantum Hall Effect A twisted conformal field theory description of the Quantum Hall Effect

1999-12-15

arxiv.org/abs/cond-mat/9912287v1

Mod.Phys.Lett. A15 (2000) 547

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

11 pages, plain Latex

Scientific paper

10.1142/S0217732300000542

We construct an effective conformal field theory by using a procedure which induces twisted boundary conditions for the fundamental scalar fields. That allows to describe a quantum Hall fluid at Jain hierarchical filling, nu=m/(2pm+1), in terms of one charged scalar field and m-1 neutral ones. Then the resulting algebra of the chiral primary fields is U(1)xW_m. Finally the ground state wave functions are given as correlators of appropriate composite fields (a-electrons).

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