# Hybrid Molecular Dynamics for Lattice Supersymmetry

## TL;DR

This paper introduces a hybrid molecular dynamics algorithm applied to lattice super-Yang--Mills theory, providing initial results on small lattices with Wilson gluinos, advancing computational methods in supersymmetric gauge theories.

## Contribution

First implementation of hybrid molecular dynamics for lattice supersymmetric gauge theories with preliminary results on small lattices.

## Key findings

- Successful derivation of Hamilton equations for the system
- Preliminary simulation results on small lattices
- Demonstration of the algorithm's applicability to supersymmetric models

## Abstract

We present the first results obtained with a Hybrid Molecular Dynamics algorithm applied to an $N=1$ SU(2) Super-Yang--Mills on the lattice. We derive the Hamilton equations of motion for the system with Wilson gluinos and present preliminary results on small lattices.