Supersymmetric Chern-Simons Theory and Supersymmetric Quantum Hall Liquid
Kazuki Hasebe
TL;DR
This paper extends Chern-Simons theory into a supersymmetric framework to describe supersymmetric quantum Hall liquids, exploring topological structures, dualities, and effective field theories for these novel states.
Contribution
It introduces a supersymmetric extension of Chern-Simons and Landau-Ginzburg theories, revealing dualities and topological features specific to supersymmetric quantum Hall systems.
Findings
Identification of supersymmetric topological structures
Derivation of a dual supersymmetric Chern-Simons-Landau-Ginzburg theory
Insights into topological excitations in supersymmetric quantum Hall liquids
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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