Supersymmetric quantum-Hall effect on a fuzzy supersphere.
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(1/2) 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.
Hasebe
Kazuki
K
Yukawa Institute for Theoretical Physics, Kyoto University, Kyoto 606-8502, Japan. hasebe@yukawa.kyoto-u.ac.jp