# Hyperbolic supersymmetric quantum Hall effect

@article{Hasebe2008HyperbolicSQ, title={Hyperbolic supersymmetric quantum Hall effect}, author={Kazuki Hasebe}, journal={Physical Review D}, year={2008}, volume={78}, pages={125024} }

Developing a noncompact version of the supersymmetric Hopf map, we formulate the quantum Hall effect on a superhyperboloid. Based on OSp(1|2) group theoretical methods, we first analyze the one-particle Landau problem, and successively explore the many-body problem where the Laughlin wave function, hard-core pseudopotential Hamiltonian, and topological excitations are derived. It is also shown that the fuzzy superhyperboloid emerges at the lowest Landau level.

## 19 Citations

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