First results from simulations of supersymmetric lattices

Understand

We conduct the first numerical simulations of lattice theories with exact supersymmetry arising from the orbifold constructions of \cite{Cohen:2003xe,Cohen:2003qw,Kaplan:2005ta}.

• We consider the $\cQ=4$ theory in $D=0,2$ dimensions and the $\cQ=16$ theory in $D=0,2,4$ dimensions.
• We show that the U(N) theories do not possess vacua which are stable non-perturbatively, but that this problem can be circumvented after truncation to SU(N).
• We measure the distribution of scalar field eigenvalues, the spectrum of the fermion operator and the phase of the Pfaffian arising after integration over the fermions.