# Mini-BFSS in Silico

## TL;DR

This paper provides numerical evidence for four supersymmetric ground states in a mass-deformed $ ext{SU}(2)$ BFSS matrix model, suggesting nontrivial supersymmetric structure despite a zero Witten index.

## Contribution

It offers the first numerical analysis indicating the existence of supersymmetric ground states in a mass-deformed $ ext{SU}(2)$ BFSS model with zero Witten index.

## Key findings

- Four supersymmetric ground states identified numerically.
- Evidence supports supersymmetry persists as mass deformation approaches zero.
- Model has zero Witten index despite supersymmetric ground states.

## Abstract

We study a mass-deformed $\mathcal{N}=4$ version of the BFSS matrix model with three matrices and gauge group $SU(2)$. This model has zero Witten index. Despite this, we give numerical evidence for the existence of four supersymmetric ground states, two bosonic and two fermionic, in the limit where the mass deformation is tuned to zero.