Supersymmetric Chern-Simons Theory and Supersymmetric Quantum Hall Liquid

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.

12 pages, no figures, published version in PRD

Cited by in corpus (4)

• Hyperbolic Supersymmetric Quantum Hall Effect
• Christ-Lee Model: (Anti-)Chiral Supervariable Approach to BRST Formalism
• SUSY Quantum Hall Effect on Non-Anti-Commutative Geometry
• Free and Interacting Fermionic Conformal Field Theories on the Fuzzy Sphere