SUSY Quantum Hall Effect on Non-Anti-Commutative Geometry

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dc.contributor.authorHasebe, K.
dc.date.accessioned2019-02-19T12:44:58Z
dc.date.available2019-02-19T12:44:58Z
dc.date.issued2008
dc.description.abstractWe 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 construct SUSY extensions of Laughlin wavefunction and topological excitations. The non-anti-commutative geometry naturally emerges in the lowest Landau level and brings particular physics to the SUSY quantum Hall effect. It is shown that SUSY provides a unified picture 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.uk_UA
dc.description.sponsorshipThis paper is a contribution to the Proceedings of the Seventh International Conference “Symmetry in Nonlinear Mathematical Physics” (June 24–30, 2007, Kyiv, Ukraine). I would like to thank Yusuke Kimura for collaborations in early stage of this work.uk_UA
dc.identifier.citationSUSY Quantum Hall Effect on Non-Anti-Commutative Geometry / K. Hasebe // Symmetry, Integrability and Geometry: Methods and Applications. — 2008. — Т. 4. — Бібліогр.: 51 назв. — англ.uk_UA
dc.identifier.issn1815-0659
dc.identifier.other2000 Mathematics Subject Classification: 17B70; 58B34; 81V70
dc.identifier.urihttps://nasplib.isofts.kiev.ua/handle/123456789/148987
dc.language.isoenuk_UA
dc.publisherІнститут математики НАН Україниuk_UA
dc.relation.ispartofSymmetry, Integrability and Geometry: Methods and Applications
dc.statuspublished earlieruk_UA
dc.titleSUSY Quantum Hall Effect on Non-Anti-Commutative Geometryuk_UA
dc.typeArticleuk_UA

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Symmetry, Integrability and Geometry: Methods and Applications, 2008, том 4, випуск за цей рік