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Symmetry, Integrability and Geometry: Methods and Applications, 2008, Volume 4, 023, 21 pp.
DOI: https://doi.org/10.3842/SIGMA.2008.023 (Mi sigma276) 		 
This article is cited in 6 scientific papers (total in 6 papers)

SUSY Quantum Hall Effect on Non-Anti-Commutative Geometry

Kazuki Hasebe

Department of General Education, Takuma National College of Technology, Takuma-cho, Mitoyo-city, Kagawa 769-1192, Japan
Full-text PDF (357 kB) Citations (6)
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DOI: https://doi.org/10.3842/SIGMA.2008.023
Abstract: We review the recent developments of the SUSY quantum Hall effect [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.
Keywords: quantum hall effect; non-anti-commutative geometry; supersymmetry; Hopf map; Landau problem; Chern–Simons theory; charge-flux duality.
Received: October 1, 2007; in final form February 7, 2008; Published online February 22, 2008
Bibliographic databases:
Document Type: Article
MSC: 17B70; 58B34; 81V70
Language: English
Citation: Kazuki Hasebe, “SUSY Quantum Hall Effect on Non-Anti-Commutative Geometry”, SIGMA, 4 (2008), 023, 21 pp.
Citation in format AMSBIB
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\paper SUSY Quantum Hall Effect on Non-Anti-Commutative Geometry
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    • This publication is cited in the following 6 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Symmetry, Integrability and Geometry: Methods and Applications
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