# SUSY Quantum Hall Effect on Non-Anti-Commutative Geometry

@article{Hasebe2008SUSYQH, title={SUSY Quantum Hall Effect on Non-Anti-Commutative Geometry}, author={Kazuki Hasebe}, journal={Symmetry Integrability and Geometry-methods and Applications}, year={2008}, volume={4}, pages={023} }

We review the recent developments of the SUSY quantum Hall effect (hep-th/0409230, hep-th/0411137, hep-th/0503162, hep-th/0606007, arXiv:0705.4527). We introduce a SUSY formulation of the quantum Hall effect on supermanifolds. On each of supersphere and superplane, we investigate SUSY Landau problem and explicitly con- struct SUSY extensions of Laughlin wavefunction and topological excitations. The non-anti- commutative geometry naturally emerges in the lowest Landau level and brings particular…

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