Abstract

An approach to understand fractional quantum Hall effect (FQHE) using anomalies is studied in this letter. 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 bosonization of fermions living at the edge. By identifying the anomaly at the edge with the Hall conductivity in the bulk, it is shown that this model can describe the integer or the FQHE depending on the charge matrix used as the generator of gauge transformations at the boundary.

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