Supersymmetric Quantum Hall Effect on Fuzzy Supersphere

Details Supersymmetric Quantum Hall Effect on Fuzzy Supersphere Supersymmetric Quantum Hall Effect on Fuzzy Supersphere

2004-11-15

arxiv.org/abs/hep-th/0411137v3

Phys.Rev.Lett. 94 (2005) 206802

Physics

High Energy Physics

High Energy Physics - Theory

Typos corrected, 5 pages, to be published in PRL

Scientific paper

10.1103/PhysRevLett.94.206802

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.

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