TL;DR
This paper reviews recent progress in simulating four-dimensional N=4 supersymmetric Yang-Mills theory on the lattice, focusing on preserving supersymmetry, regulating flat directions, and preliminary numerical results.
Contribution
It introduces a new lattice action that exactly preserves one supersymmetry and a novel method to regulate flat directions compatible with this symmetry.
Findings
Preliminary results on static potential
Investigation of sign problem in lattice theory
Development of improved lattice action
Abstract
We summarize recent progress in lattice studies of four-dimensional N=4 supersymmetric Yang--Mills theory and present preliminary results from ongoing investigations. Our work is based on a construction that exactly preserves a single supersymmetry at non-zero lattice spacing, and we review a new procedure to regulate flat directions by modifying the moduli equations in a manner compatible with this supersymmetry. This procedure defines an improved lattice action that we have begun to use in numerical calculations. We discuss some highlights of these investigations, including the static potential and an update on the question of a possible sign problem in the lattice theory.
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