susy quantum hall effect on non-anti-commutative geometry

Clicks: 24
ID: 135909
2008
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Abstract
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.
Reference Key
hasebe2008symmetry,susy Use this key to autocite in the manuscript while using SciMatic Manuscript Manager or Thesis Manager
Authors ;Kazuki Hasebe
Journal Therapeutic drug monitoring
Year 2008
DOI
DOI not found
URL
http://dx.doi.org/10.3842/SIGMA.2008.023
Keywords Keywords not found

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