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arXiv · hep-th/0606007

Supersymmetric Chern-Simons Theory and Supersymmetric Quantum Hall Liquid

Kazuki Hasebe
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Abstract

We develop a supersymmetric extension of Chern-Simons theory and Chern-Simons-Landau-Ginzburg theory for supersymmetric quantum Hall liquid. Supersymmetric counterparts of topological and gauge structures peculiar to the Chern-Simons theory are inspected in the supersymmetric Chern-Simons theory. We also explore an effective field theoretical description for the supersymmetric quantum Hall liquid. The key observation is the the charge-flux duality. Based on the duality, we derive a dual supersymmetric Chern-Simons-Landau-Ginzburg theory, and discuss physical properties of the topological excitations in supersymmetric quantum Hall liquid.

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Kazuki Hasebe. 2006-08-27. Supersymmetric Chern-Simons Theory and Supersymmetric Quantum Hall Liquid. https://doi.org/10.1103/physrevd.74.045026

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