Noncommutativity Approach to Supersymmetry on the Lattice: SUSY Quantum   Mechanics and an Inconsistency
  It is argued that the noncommutativity approach to fully supersymmetric field theories on the lattice suffers from an inconsistency. Supersymmetric quantum mechanics is worked out in this formalism and the inconsistency is shown both in general and explicitly for that system, as well as for the Abelian super BF model. 
Falk Bruckmann, Mark de Kok