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Aspects of lattice N=4 supersymmetric Yang--Mills · Around

2015

Aspects of lattice N=4 supersymmetric Yang--Mills

Schaich, David

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Non-perturbative investigations of $\mathcal N = 4$ supersymmetric Yang--Mills theory formulated on a space-time lattice have advanced rapidly in recent years.

Large-scale numerical calculations are currently being carried out based on a construction that exactly preserves a single supersymmetry at non-zero lattice spacing.
A recent development is the creation of an improved lattice action through a new procedure to regulate flat directions in a manner compatible with this supersymmetry, by modifying the moduli equations.
In this proceedings I briefly summarize this new procedure and discuss the parameter space of the resulting improved action that is now being employed in numerical calculations.

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S. Catterall, D. Schaich, P. H. Damgaard, T. DeGrand and J. Giedt, “ 𝒩 = 4 \mathcal{N}=4 supersymmetry on a space-time lattice”, Phys. Rev. D90
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Later among the works it cites.
S. Catterall, J. Giedt, D. Schaich, P. H. Damgaard and T. DeGrand, “Results from lattice simulations of 𝒩 = 4 \mathcal{N}=4 supersymmetric Yang–Mills”, PoS LATTICE2014
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