SUSY Quantum Hall Effect on Non-Anti-Commutative Geometry
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...
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| Опубліковано в: : | Symmetry, Integrability and Geometry: Methods and Applications |
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| Дата: | 2008 |
| Автор: | |
| Формат: | Стаття |
| Мова: | Англійська |
| Опубліковано: |
Інститут математики НАН України
2008
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| Онлайн доступ: | https://nasplib.isofts.kiev.ua/handle/123456789/148987 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | 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. |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862724121773735936 |
|---|---|
| author | Hasebe, K. |
| author_facet | Hasebe, K. |
| citation_txt | 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. |
| collection | DSpace DC |
| container_title | Symmetry, Integrability and Geometry: Methods and Applications |
| 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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| first_indexed | 2025-12-07T18:45:20Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-148987 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1815-0659 |
| language | English |
| last_indexed | 2025-12-07T18:45:20Z |
| publishDate | 2008 |
| publisher | Інститут математики НАН України |
| record_format | dspace |
| spelling | Hasebe, K. 2019-02-19T12:44:58Z 2019-02-19T12:44:58Z 2008 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 https://nasplib.isofts.kiev.ua/handle/123456789/148987 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. This 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. en Інститут математики НАН України Symmetry, Integrability and Geometry: Methods and Applications SUSY Quantum Hall Effect on Non-Anti-Commutative Geometry Article published earlier |
| spellingShingle | SUSY Quantum Hall Effect on Non-Anti-Commutative Geometry Hasebe, K. |
| title | SUSY Quantum Hall Effect on Non-Anti-Commutative Geometry |
| title_full | SUSY Quantum Hall Effect on Non-Anti-Commutative Geometry |
| title_fullStr | SUSY Quantum Hall Effect on Non-Anti-Commutative Geometry |
| title_full_unstemmed | SUSY Quantum Hall Effect on Non-Anti-Commutative Geometry |
| title_short | SUSY Quantum Hall Effect on Non-Anti-Commutative Geometry |
| title_sort | susy quantum hall effect on non-anti-commutative geometry |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/148987 |
| work_keys_str_mv | AT hasebek susyquantumhalleffectonnonanticommutativegeometry |