First results from simulations of supersymmetric lattices

Details First results from simulations of supersymmetric lattices First results from simulations of supersymmetric lattices

2008-11-07

arxiv.org/abs/0811.1203v3

JHEP 0901:040,2009

Physics

High Energy Physics

High Energy Physics - Lattice

25 pages, 14 figures, 9 tables. 3 references added

Scientific paper

10.1088/1126-6708/2009/01/040

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. We monitor supersymmetry breaking effects by measuring a simple Ward identity. Our results indicate that simulations of ${\cal N}=4$ super Yang-Mills may be achievable in the near future.

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