Supersymmetric Extension of Noncommutative Spaces, Berry Phases and Quantum Hall Effects
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Accession number;05A0430929
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| Title;Supersymmetric Extension of Noncommutative Spaces, Berry Phases and Quantum Hall Effects |
| Author;
HASEBE KAZUKI
(Kyoto Univ., Kyoto, Jpn)
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Journal Title;YITP
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Journal Code:L0911B
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ISSN:
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VOL.;NO.05-11;PAGE.24P(2005)
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| Figure&Table&Reference;FIG.7, REF.75 |
| Pub. Country;Japan |
| Language;English |
| Abstract;Supersymmetric quantum Hall systems are constructed on supersymmetrized noncommutative spaces (fuzzy superspheres and noncommutative superplanes). On these spaces, supersymmetric Berry phases plays an important role. By introducing the super Lie algebra OSp(1|2), one-particle states, supersymmetric coherent states and two-particle states are given on the superspheres. The supersymmetric extension of Landau levels, Laughlin wavefunctions (N-particle systems) and topological excitations are obtained. On the superspheres the wavefunctions are self-supersymmetric, so that they do not have their superpartners. On the superplanes, however, the wavefunctions have their superpartners. Infinite number of conserved charges appear in the lowest Landau level, and they form supersymmetrized W algebras. |
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