SUSY Quantum Hall Effect on Non-Anti-Commutative Geometry
Vernadsky National Library of Ukraine
Переглянути архів Інформація| Поле | Співвідношення | |
| Title |
SUSY Quantum Hall Effect on Non-Anti-Commutative Geometry
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| Creator |
Hasebe, K.
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| Description |
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 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.
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| Date |
2019-02-19T12:44:58Z
2019-02-19T12:44:58Z 2008 |
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| Type |
Article
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| Identifier |
SUSY Quantum Hall Effect on Non-Anti-Commutative Geometry / K. Hasebe // Symmetry, Integrability and Geometry: Methods and Applications. — 2008. — Т. 4. — Бібліогр.: 51 назв. — англ.
1815-0659 2000 Mathematics Subject Classification: 17B70; 58B34; 81V70 http://dspace.nbuv.gov.ua/handle/123456789/148987 |
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| Language |
en
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| Relation |
Symmetry, Integrability and Geometry: Methods and Applications
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| Publisher |
Інститут математики НАН України
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