# Numerical results for the lightest bound states in $\mathcal{N}=1$ supersymmetric SU(3) Yang-Mills theory

## TL;DR

This study computes the masses of the lightest bound states in SU(3) $\\mathcal{N}=1$ supersymmetric Yang-Mills theory using lattice simulations, providing evidence for unbroken supersymmetry through continuum extrapolation.

## Contribution

First lattice-based determination of lightest bound state masses in SU(3) $\\mathcal{N}=1$ SYM with continuum limit extrapolation, confirming supermultiplet formation.

## Key findings

- Formation of a supermultiplet of bound states.
- Evidence for unbroken supersymmetry.
- Mass spectrum consistent with theoretical predictions.

## Abstract

The physical particles in supersymmetric Yang-Mills theory (SYM) are bound states of gluons and gluinos. We have determined the masses of the lightest bound states in SU(3) $\mathcal{N}=1$ SYM. Our simulations cover a range of different lattice spacings, which for the first time allows an extrapolation to the continuum limit. Our results show the formation of a supermultiplet of bound states, which provides a clear evidence for unbroken supersymmetry.