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.

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

References in corpus (10)

• Monte Carlo studies of supersymmetric matrix quantum mechanics with sixteen supercharges at finite temperature
• Black hole thermodynamics from simulations of lattice Yang-Mills theory
• Towards lattice simulation of the gauge theory duals to black holes and hot strings
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• Simulations of $\mathcal{N}=2$ super Yang-Mills theory in two dimensions
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Cited by in corpus (10)

• 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
• 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
• Vacuum energy of two-dimensional N=(2,2) super Yang-Mills theory
• Lattice formulation of 2D $\mathcal{N}=(2,2)$ SQCD based on the B model twist
• Lattice studies of supersymmetric gauge theories
• Supersymmetric Gauge Theory on the Graph
• Finite-temperature phase diagram of the BMN matrix model on the lattice
• Nonperturbative phase diagram of two-dimensional $\mathcal{N}=(2,2)$ super-Yang--Mills