Bulg. J. Phys. vol.35 no.s1 (2008), pp. 266-273



SUSY Quantum Hall Effect

Kazuki Hasebe
Department of General Education, Takuma National College of Technology, Takuma-cho, Mitoyo-city, Kagawa 769-1192, Japan
Abstract. 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]. Based on the SUSY Hopf map, we explicitly construct SUSY extensions of Landau model and the Laughlin wavefunction. The non-anti-commutative geometry naturally emerges in the lowest Landau level. We show SUSY provides a unified description of the original Laughlin and Moore-Read states. Based on the charge-flux duality, we also develop a Chern-Simons effective field theory for the SUSY quantum Hall effect.

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