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.

arXiv comment12 pages, no figures, published version in PRD

References in corpus (20)

• A Four Dimensional Generalization of the Quantum Hall Effect
• Non-commutative superspace from string theory
• Noncommutative Superspace, N=1/2 Supersymmetry, Field Theory and String Theory
• Quantum Hall Effect in Higher Dimensions
• The Eight Dimensional Quantum Hall Effect and the Octonions
• Effective field theory description of the higher dimensional quantum Hall liquid
• One-Dimensional Fermions as Two-Dimensional Droplets Via Chern-Simons Theory
• Supersymmetric Quantum Hall Effect on Fuzzy Supersphere
• Quantum Hall effect on $S^3$, edge states and fuzzy $S^3/{\mathbf{Z}}_2$
• String theory and the mapping of gravity into gauge theory
• Dimensional Hierarchy in Quantum Hall Effects on Fuzzy Spheres
• Fuzzy Supersphere and Supermonopole
• Quantum Hall Effect on Higher Dimensional Spaces
• Quantum Hall Liquid on a Noncommutative Superplane
• N=4 supersymmetric mechanics with nonlinear chiral supermultiplet
• Gauge Theory on Noncommutative Supersphere from Supermatrix Model
• Planar Super-Landau Models
• Spin-Hall effect with quantum group symmetry
• Supersymmetric Embedding of the Quantum Hall Matrix Model
• Osp(1|2) Chern-Simons gauge theory as 2D N=1 Induced Supergravity

Cited by in corpus (11)

• Chern-Simons-Matter Theory
• Supersymmetric Chern-Simons Theory in Presence of a Boundary
• Harmonic Superspace Gaugeon Formalism for the ABJM Theory
• The BV Formalization of Chern-Simons Theory on Deformed Superspace
• Hyperbolic Supersymmetric Quantum Hall Effect
• Non-anticommutative ABJ Theory
• Unification of Laughlin and Moore-Read States in SUSY Quantum Hall Effect
• Christ-Lee Model: (Anti-)Chiral Supervariable Approach to BRST Formalism
• Free and Interacting Fermionic Conformal Field Theories on the Fuzzy Sphere
• SUSY Quantum Hall Effect on Non-Anti-Commutative Geometry
• Supersymmetric Quantum Hall Liquid with a Deformed Supersymmetry