Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2004-11-15
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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