First results from simulations of supersymmetric lattices

Abstract

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 $\mathcal{N}=4$ super Yang-Mills may be achievable in the near future.

arXiv comment25 pages, 14 figures, 9 tables. 3 references added

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Cited by in corpus (29)

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• Direct test of the gauge-gravity correspondence for Matrix theory correlation functions
• Lattice study of two-dimensional N=(2,2) super Yang-Mills at large-N
• Testing a novel large-N reduction for N=4 super Yang-Mills theory on RxS^3
• Testing holography using lattice super-Yang--Mills on a 2-torus
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• Seeking the Loop Quantum Gravity Barbero-Immirzi Parameter and Field in 4D, $\mathcal{N}$ = 1 Supergravity
• On the shape of a D-brane bound state and its topology change
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• Supersymmetric Gauge Theory on the Graph
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