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arXiv · hep-th/9509019

Chern-Simons Duality and the Quantum Hall Effect

A. P. Balachandran·L. Chandar·B. Sathiapalan
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Abstract

In previous work on the quantum Hall effect on an annulus, we used $O(d,d;{\bf Z})$ duality transformations on the action describing edge excitations to generate the Haldane hierarchy of Hall conductivities. Here we generate the corresponding hierarchy of ``bulk actions'' which are associated with Chern-Simons (CS) theories, the connection between the bulk and edge arising from the requirement of anomaly cancellation. We also find a duality transformation for the CS theory exactly analogous to the $R\rightarrow \frac{1}{R}$ duality of the scalar field theory at the edge.

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A. P. Balachandran, L. Chandar, B. Sathiapalan. 1995-09-05. Chern-Simons Duality and the Quantum Hall Effect. https://doi.org/10.1142/s0217751x96001693

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