Quantum Hall Liquid on a Noncommutative Superplane
arXiv:hep-th/0503162 · doi:10.1103/PhysRevD.72.105017
Abstract
Supersymmetric quantum Hall liquids are constructed on a noncommutative superplane. We explore a supersymmetric formalism of the Landau problem. In the lowest Landau level, there appear spin-less bosonic states and spin-1/2 down fermionic states, which exhibit a super-chiral property. It is shown the Laughlin wavefunction and topological excitations have their superpartners. Similarities between supersymmetric quantum Hall systems and bilayer quantum Hall systems are discussed.
11 pages, 3 figures, 1 table, minor corrections, published in Phys.Rev.D
References in corpus (34)
- Dissipationless Quantum Spin Current at Room Temperature
- A Four Dimensional Generalization of the Quantum Hall Effect
- SU(2) Non-Abelian Holonomy and Dissipationless Spin Current in Semiconductors
- Non-commutative superspace from string theory
- Quantum Hall states as matrix Chern-Simons 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
- Noncommutative Gauge Theory on Fuzzy Four-Sphere and Matrix Model
- Effective field theory description of the higher dimensional quantum Hall liquid
- Supersymmetric Gauge Theories on Noncommutative Superspace
- Supersymmetry in noncommutative superspaces
- Higher-Dimensional Quantum Hall Effect in String Theory
- Non(anti)commutative Superspace, UV/IR Mixing & Open Wilson Lines
- Noncommutative Superspace, Supermatrix and Lowest Landau Level
- Supersymmetric Quantum Hall Effect on Fuzzy Supersphere
- Collective excitations at the boundary of a 4D quantum Hall droplet
- Non-commutative geometry of 4-dimensional quantum Hall droplet
- Fuzzy Supersphere and Supermonopole
- Dimensional Hierarchy in Quantum Hall Effects on Fuzzy Spheres
- Noncommutative Geometry, Extended W(infty) Algebra and Grassmannian Solitons in Multicomponent Quantum Hall Systems
- Geometric construction of the Quantum Hall Effect in all even dimensions
- On Higher Dimensional Fuzzy Spherical Branes
- Four-dimensional Hall mechanics as a particle on $\DC P^3$
- Gauge Theory on Noncommutative Supersphere from Supermatrix Model
- Nonabelian gauge field and dual description of fuzzy sphere
- Twistor theory and the four-dimensional Quantum Hall effect of Zhang and Hu
- The Quantum Hall Effect on R^4
- Matrix models of 4-dimensional quantum Hall fluids
- N=2 Supersymmetric Planar Particles and Magnetic Interaction from Noncommutativity
- Metallic Nature of the Four-Dimensional Quantum Hall Edge
- Supersymmetric Embedding of the Quantum Hall Matrix Model
- Supersymmetry in the Non-Commutative Plane
- Quasiparticle excitations and hierarchies of 4-dimensional quantum Hall fluid states in the matrix models
Cited by in corpus (23)
- Chern-Simons-Matter Theory
- Supersymmetric Chern-Simons Theory in Presence of a Boundary
- Hopf Maps, Lowest Landau Level, and Fuzzy Spheres
- Supersymmetric Valence Bond Solid States
- Harmonic Superspace Gaugeon Formalism for the ABJM Theory
- Planar Super-Landau Models Revisited
- The BV Formalization of Chern-Simons Theory on Deformed Superspace
- Hyperbolic Supersymmetric Quantum Hall Effect
- Supersymmetrizing Landau Models
- Collective excitations at filling factor 5/2: The view from superspace
- N=4, 3D Supersymmetric Quantum Mechanics in Non-Abelian Monopole Background
- Non-anticommutative ABJ Theory
- Non-relativistic electron-electron interaction in a Maxwell-Chern-Simons-Proca model endowed with a timelike Lorentz-violating background
- Unification of Laughlin and Moore-Read States in SUSY Quantum Hall Effect
- Supersymmetric Chern-Simons Theory and Supersymmetric Quantum Hall Liquid
- N=4 Supersymmetric Landau Models
- Generalized N = 2 Super Landau Models
- The N=1 Supersymmetric Landau Problem and its Supersymmetric Landau Level Projections: the N=1 Supersymmetric Moyal-Voros Superplane
- SUSY Quantum Hall Effect on Non-Anti-Commutative Geometry
- Free and Interacting Fermionic Conformal Field Theories on the Fuzzy Sphere
- Super Landau Models on Odd Cosets
- Topological Many-Body States in Quantum Antiferromagnets via Fuzzy Super-Geometry
- Supersymmetric Quantum Hall Liquid with a Deformed Supersymmetry