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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| Datum: | 2008 |
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| Sprache: | English |
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Інститут математики НАН України
2008
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| Schriftenreihe: | Symmetry, Integrability and Geometry: Methods and Applications |
| Online Zugang: | http://dspace.nbuv.gov.ua/handle/123456789/148987 |
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| Zitieren: | 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. |
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irk-123456789-1489872019-02-20T01:26:15Z SUSY Quantum Hall Effect on Non-Anti-Commutative Geometry Hasebe, K. 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. 2008 Article 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 en Symmetry, Integrability and Geometry: Methods and Applications Інститут математики НАН України |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
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DSpace DC |
| language |
English |
| 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. |
| format |
Article |
| author |
Hasebe, K. |
| spellingShingle |
Hasebe, K. SUSY Quantum Hall Effect on Non-Anti-Commutative Geometry Symmetry, Integrability and Geometry: Methods and Applications |
| author_facet |
Hasebe, K. |
| author_sort |
Hasebe, K. |
| title |
SUSY Quantum Hall Effect on Non-Anti-Commutative Geometry |
| title_short |
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_sort |
susy quantum hall effect on non-anti-commutative geometry |
| publisher |
Інститут математики НАН України |
| publishDate |
2008 |
| url |
http://dspace.nbuv.gov.ua/handle/123456789/148987 |
| 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. |
| series |
Symmetry, Integrability and Geometry: Methods and Applications |
| work_keys_str_mv |
AT hasebek susyquantumhalleffectonnonanticommutativegeometry |
| first_indexed |
2025-07-12T20:49:31Z |
| last_indexed |
2025-07-12T20:49:31Z |
| _version_ |
1837475689301803008 |