$\mathcal{N}=1$ Supersymmetric SU(3) Gauge Theory with a Twist

TL;DR

This paper explores the bound states in a supersymmetric SU(3) gauge theory using a twisted lattice approach to better preserve chiral symmetry and supersymmetry at finite lattice spacing.

Contribution

It introduces a deformed lattice action with a twist term to improve symmetry preservation in Super-Yang-Mills simulations.

Findings

Preliminary results on bound state spectra

Enhanced symmetry preservation at finite lattice spacing

Development of a twisted lattice formulation for SYM

Abstract

We investigate the pure gauge sector of Super-QCD, i.e. Super-Yang-Mills (SYM) theory, with focus on the bound states. To improve chiral symmetry as well as supersymmetry at finite lattice spacing, we use a deformed SYM lattice action. It contains a twist term, similar to the lattice formulation of twisted mass QCD. We present the status of our theoretical and numerical investigation.