Kazuki Hasebe (Takuma National College of Technology, Kagawa, Japan)

SUSY quantum hall effect

Recent developments of the SUSY quantum Hall effect are presented. The SUSY quantum Hall effect incorporates SUSY non-commutative geometry in a natural way, and exhibits its peculiar properties. The talk consists of two-parts. In the former half, I introduce the mathematical set-up for the SUSY quantum Hall effect and investigate SUSY Landau problem. In the latter half, many-body problem is explored. A SUSY Laughlin wavefunction and a SUSY Chern-Simons-Landau-Ginzburg Lagrangian are derived and thier properties are discussed.