Aspects of lattice N=4 supersymmetric Yang--Mills

TL;DR

This paper discusses recent progress in non-perturbative lattice formulations of N=4 supersymmetric Yang-Mills theory, focusing on improved actions that preserve supersymmetry and regulate flat directions for numerical studies.

Contribution

Introduces a new procedure for creating improved lattice actions that preserve supersymmetry and regulate flat directions in N=4 SYM.

Findings

Development of an improved lattice action for N=4 SYM

Successful regulation of flat directions compatible with supersymmetry

Enhanced parameter space for numerical simulations

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.