English

Maximally supersymmetric Yang-Mills on the lattice

High Energy Physics - Theory 2018-04-17 v1 High Energy Physics - Lattice

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.

Keywords

Cite

@article{arxiv.1508.00884,
  title  = {Maximally supersymmetric Yang-Mills on the lattice},
  author = {David Schaich and Simon Catterall},
  journal= {arXiv preprint arXiv:1508.00884},
  year   = {2018}
}

Comments

Contribution to the Sakata Memorial KMI Workshop on "Origin of Mass and Strong Coupling Gauge Theories" (SCGT15), 3--6 March 2015, Nagoya University