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

1512.01137Dec 3, 2015Contribution to the proceedings of Lattice 2015, July 14--18, Kobe, Japan

Aspects of lattice N=4 supersymmetric Yang--Mills

David Schaich

Abstract

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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Non-perturbative investigations of 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.

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The paper addresses: Aspects of lattice N=4 supersymmetric Yang--Mills.
Non-perturbative investigations of N = 4 supersymmetric Yang--Mills theory formulated on a space-time lattice have advanced rapidly in recent years.

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Author comment: Contribution to the proceedings of Lattice 2015, July 14--18, Kobe, Japan