$\mathcal{N}=1$ Supersymmetric $SU(3)$ Gauge Theory -- Pure Gauge sector with a twist

Abstract

Supersymmetric gauge theories are an essential part of most theories beyond the standard model. In the present work we investigate the pure gauge sector of Super-QCD focusing on the bound states, i.e. mesonic gluinoballs, gluino-glueballs and pure glueballs. To improve chiral properties and to minimize breaking of supersymmetry at finite lattice spacing, we introduce a deformed Super-Yang-Mills lattice action. It contains a twist term, similar to the twisted-mass formulation of lattice QCD. We furthermore explore if the multigrid method (DD$\alpha$AMG solver) applied to the gluinos (adjoint Majorana fermions) achieves similar improvements as in QCD.

Comments: 7 pages, 5 figures, proceedings to talk presented at 36th annual International Symposium on Lattice Field Theory, 22-28 July 2018, East Lansing, MI, USA