SUSY Quantum Hall Effect on Non-Anti-Commutative Geometry

  title={SUSY Quantum Hall Effect on Non-Anti-Commutative Geometry},
  author={Kazuki Hasebe},
  journal={Symmetry Integrability and Geometry-methods and Applications},
  • K. Hasebe
  • Published 1 October 2007
  • Physics
  • Symmetry Integrability and Geometry-methods and Applications
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 con- struct SUSY extensions of Laughlin wavefunction and topological excitations. The non-anti- commutative geometry naturally emerges in the lowest Landau level and brings particular… 

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