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We conduct the first numerical simulations of lattice theories with exactsupersymmetry arising from the orbifold constructions of\cite{Cohen:2003xe,Cohen:2003qw,Kaplan:2005ta}. We consider the $\cQ=4$ theoryin $D=0,2$ dimensions and the $\cQ=16$ theory in $D=0,2,4$ dimensions. We showthat the U(N) theories do not possess vacua which are stablenon-perturbatively, but that this problem can be circumvented after truncationto SU(N). We measure the distribution of scalar field eigenvalues, the spectrumof the fermion operator and the phase of the Pfaffian arising after integrationover the fermions. We monitor supersymmetry breaking effects by measuring asimple Ward identity. Our results indicate that simulations of ${\cal N}=4$super Yang-Mills may be achievable in the near future.

First results from simulations of supersymmetric lattices