SUSY quantum hall effect

Abstract:
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.