Scale setting for $\mathcal{N} = 1$ SUSY Yang-Mills at large-$N$ through volume-reduced twisted matrix model

TL;DR

This paper investigates the scale setting of large-$N$ $ ext{SUSY}$ Yang-Mills theory using volume-reduced twisted matrix models, providing insights into its spectrum through gluonic and mesonic observables.

Contribution

It introduces a novel approach to determine the scale of $ ext{SUSY}$ Yang-Mills at large-$N$ using volume-reduced models and gluonic observables.

Findings

Successful scale setting via gluonic observables

Analysis of quenched fundamental mesons in the chiral limit

Results support the use of twisted models for large-$N$ studies

Abstract

$\mathcal{N}=1$ SUSY Yang-Mills theory is an appealing theoretical framework that has been studied in the literature using different methods, including standard lattice simulations. Among these, the volume-reduced twisted Eguchi-Kawai model, endowed with one adjoint Majorana fermion, could play an important role in studying its large-$N$ limit via the Curci-Veneziano prescription. In this talk, we present our results on the analysis of the scale of the theory, performed via different methods based on purely gluonic observables as well as (quenched) fundamental mesons in the chiral limit. These lattice results will be used as a scale setting for the analysis of the spectrum of the theory.