Supersymmetric Quantum Hall Effect on Fuzzy Supersphere

Abstract

Supersymmetric quantum Hall liquids are constructed on a supersphere in a supermonopole background. We derive a supersymmetric generalization of the Laughlin wavefunction, which is a ground state of a hard-core $OSp(1|2)$ invariant Hamiltonian. We also present excited topological objects, which are fractionally charged deficits made by super Hall currents. Several relations between quantum Hall systems and their supersymmetric extensions are discussed.

Typos corrected, 5 pages, to be published in PRL

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Cited by in corpus (41)

• Quantum Hall Effect in Higher Dimensions, Matrix Models and Fuzzy Geometry
• Chern-Simons-Matter Theory
• Higher Dimensional Quantum Hall Effect as A-Class Topological Insulator
• Supersymmetric Chern-Simons Theory in Presence of a Boundary
• Hopf Maps, Lowest Landau Level, and Fuzzy Spheres
• Quantum Hall Liquid on a Noncommutative Superplane
• Supersymmetric Valence Bond Solid States
• N=4 supersymmetric mechanics with nonlinear chiral supermultiplet
• Six-dimensional space-time from quaternionic quantum mechanics
• Split-Quaternionic Hopf Map, Quantum Hall Effect, and Twistor Theory
• Biharmonic Superspace for N=4 Mechanics
• Second Hopf map and supersymmetric mechanics with Yang monopole
• Planar Super-Landau Models Revisited
• Relativistic Landau Models and Generation of Fuzzy Spheres
• The BV Formalization of Chern-Simons Theory on Deformed Superspace
• Superqubits
• Hyperbolic Supersymmetric Quantum Hall Effect
• Collective excitations at filling factor 5/2: The view from superspace
• Oscillator potential for the four-dimensional Hall effect
• D-string fluid in conifold: I. Topological gauge model
• Quantum Entanglement and Topological Order in Hole-Doped Valence Bond Solid States
• Chern-Simons Theory in SIM(1) Superspace
• Non-anticommutative ABJ Theory
• Graded Hopf Maps and Fuzzy Superspheres
• $SO(4)$ Landau Models and Matrix Geometry
• Unification of Laughlin and Moore-Read States in SUSY Quantum Hall Effect
• Supersymmetric Chern-Simons Theory and Supersymmetric Quantum Hall Liquid
• Hidden Order and Dynamics in Supersymmetric Valence Bond Solid States -- Super-Matrix Product State Formalism
• Non-Relativistic Supergeometry in the Moore-Read Fractional Quantum Hall State
• A Quantum Ring in a Nanosphere
• Supersymmetric Extension of Hopf Maps: N=4 sigma-models and the S^3 -> S^2 Fibration
• $SO(5)$ Landau Model and 4D Quantum Hall Effect in The $SO(4)$ Monopole Background
• Noncommutative Geometry and Deformation Quantization in the Quantum Hall Fluids with Inhomogeneous Magnetic Fields
• SUSY Quantum Hall Effect on Non-Anti-Commutative Geometry
• Free and Interacting Fermionic Conformal Field Theories on the Fuzzy Sphere
• Symmetries of deformed supersymmetric mechanics on Kähler manifolds
• Super Landau Models on Odd Cosets
• Deformation of Matrix Geometry via Landau Level Evolution
• Superintegrable deformations of oscillator and Coulomb systems
• Geometrical Construction of Supertwistor Theory
• Supersymmetric Quantum Hall Liquid with a Deformed Supersymmetry