Latest results from lattice N=4 supersymmetric Yang--Mills

TL;DR

This paper reports on recent numerical lattice studies of N=4 supersymmetric Yang--Mills theory, focusing on improved actions and analysis of the static potential, with results aligning with continuum perturbation theory at weak couplings.

Contribution

Developed an improved lattice action preserving a supersymmetry, enabling more accurate large-scale numerical investigations of N=4 SYM.

Findings

Results for the Coulomb coefficient match continuum perturbation theory.

Updated static potential analysis using the new lattice action.

Application of tree-level lattice perturbation theory enhances potential analysis.

Abstract

We present some of the latest results from our numerical investigations of N=4 supersymmetric Yang--Mills theory formulated on a space-time lattice. Based on a construction that exactly preserves a single supersymmetry at non-zero lattice spacing, we recently developed an improved lattice action that is now being employed in large-scale calculations. Here we update our studies of the static potential using this new action, also applying tree-level lattice perturbation theory to improve the analysis of the potential itself. Considering relatively weak couplings, we obtain results for the Coulomb coefficient that are consistent with continuum perturbation theory.