Fractional Quantum Hall Effect from Anomalies in WZNW Model

Details Fractional Quantum Hall Effect from Anomalies in WZNW Model Fractional Quantum Hall Effect from Anomalies in WZNW Model

1994-02-23

arxiv.org/abs/hep-th/9402128v3

Mod.Phys.Lett. A9 (1994) 3403-3412

Physics

High Energy Physics

High Energy Physics - Theory

14 pages, SU-4240-569

Scientific paper

10.1142/S0217732394003233

An approach to understand Fractional Quantum Hall Effect (FQHE) using anomalies is studied in this paper. More specifically, this is done by looking at the anomaly in the current conservation equation of a WZNW theory describing fields living at the edge of the two dimensional Hall sample. This WZNW theory itself comes from the non-Abelian bosonisation of fermions living at the edge. It is shown that this model can describe both integer and fractional quantization of conductivities in a unified manner.

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