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Title:
Quantum Hall effect in higher dimensions: Formulation and droplet dynamics
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Abstract:
We present the formulation of quantum Hall effect in higher dimensional spaces, such as CP^k. The boundary effective action for the corresponding quantum Hall droplets is shown to be a Wess-Zumino-Witten theory, generalized to higher dimensions. In the presence of gauge interactions the bulk effective action is given by a Chern-Simons type term whose anomaly is cancelled by a contribution from the boundary gauged Wess-Zumino-Witten action.
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