Supersymmetric Quantum-Hall Effect on a Fuzzy Supersphere

Journal Article · Fri May 27 00:00:00 EDT 2005 · Physical Review Letters

DOI:https://doi.org/10.1103/PhysRevLett.94.206802· OSTI ID:20696321

Hasebe, Kazuki ^[1]

---

1. Yukawa Institute for Theoretical Physics, Kyoto University, Kyoto 606-8502 (Japan)

Supersymmetric quantum-Hall liquids are constructed on a supersphere in a supermonopole background. We derive a supersymmetric generalization of the Laughlin wave function, which is a ground state of a hard-core OSp(1 vertical bar 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.

• OSTI ID: 20696321
• Journal Information: Physical Review Letters, Vol. 94, Issue 20; Other Information: DOI: 10.1103/PhysRevLett.94.206802; (c) 2005 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); ISSN 0031-9007
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
FUZZY LOGIC
GROUND STATES
HALL EFFECT
HAMILTONIANS
QUANTUM MECHANICS
SPHERES
SUPERSYMMETRY
TOPOLOGY
WAVE FUNCTIONS