  Supersymmetric quantum mechanics is formulated on a two dimensional
noncommutative plane and applied to the supersymmetric harmonic oscillator. We
find that the ordinary commutative supersymmetry is partially broken and only
half of the number of supercharges are conserved. It is argued that this
breaking is closely related to the breaking of time reversal symmetry arising
from noncommutativity.

High Energy Physics - Theory