First results from simulations of supersymmetric lattices

Simon Catterall
2009 Journal of High Energy Physics  
We conduct the first numerical simulations of lattice theories with exact supersymmetry arising from the orbifold constructions of Cohen:2003xe,Cohen:2003qw,Kaplan:2005ta. We consider the =4 theory in D=0,2 dimensions and the =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
more » ... on operator and the phase of the Pfaffian arising after integration over the fermions. We monitor supersymmetry breaking effects by measuring a simple Ward identity. Our results indicate that simulations of N=4 super Yang-Mills may be achievable in the near future.
doi:10.1088/1126-6708/2009/01/040 fatcat:jvdj27nvevdzpc4yrwr6uhwmuy