Supermultiplets in N=1 SUSY SU(2) Yang-Mills Theory

TL;DR

This paper investigates the non-perturbative spectrum of N=1 supersymmetric SU(2) Yang-Mills theory on the lattice, aiming to verify if supersymmetry persists at the quantum level by analyzing bound state supermultiplets.

Contribution

It applies variational and smearing techniques to lattice SYM to extract bound state masses and test supersymmetry preservation non-perturbatively.

Findings

Bound state masses consistent with supermultiplet structure

Evidence supporting supersymmetry at the quantum level

Identification of lightest bound states like gluino-glue and glueballs

Abstract

We study $\mathcal{N}=1$ supersymmetric Yang-Mills theory (SYM) on the lattice. The non-perturbative nature of supersymmetric field theories is still largely unknown. Similarly to QCD, SYM is confining and contains strongly bound states. Applying the variational method together with different smearing techniques we extract masses of the lightest bound states such as gluino-glue, glueball and mesonic states. As these states should form supermultiplets, this study allows to check whether SYM remains supersymmetric also on the quantum level.