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arXiv · hep-th/0507027

Electromagnetic interactions of higher dimensional quantum Hall droplets

Dimitra Karabali
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Abstract

Using a $W_{N}$-gauge theory to describe electromagnetic interactions of spinless fermions in the lowest Landau level, where the $W_{N}$ transformations are nonlinear realizations of U(1) gauge transformations, we construct the effective action describing electromagnetic interactions of a higher dimensional quantum Hall droplet. We also discuss how this is related to the Abelian Seiberg-Witten map. Explicit calculations are presented for the quantum Hall effect on ${\bf CP}^k$ with U(1) background magnetic field. The bulk action is a Kähler-Chern-Simons term whose anomaly is cancelled by a boundary contribution so that gauge invariance is explicitly satisfied.

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Dimitra Karabali. 2005-09-04. Electromagnetic interactions of higher dimensional quantum Hall droplets. https://doi.org/10.1016/j.nuclphysb.2005.08.025

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