Lattice supersymmetry with domain wall fermions

TL;DR

This paper demonstrates the first numerical lattice simulations of N=1 supersymmetric SU(2) Yang-Mills theory in four dimensions using domain wall fermions to better preserve chiral symmetry and suppress supersymmetry breaking.

Contribution

It introduces the application of domain wall fermions for simulating four-dimensional N=1 supersymmetric SU(2) Yang-Mills theory on the lattice, a novel approach in this context.

Findings

Successful implementation of domain wall fermions in lattice supersymmetry simulations

Evidence of supersymmetry preservation at finite lattice spacing

First numerical results for N=1 supersymmetric SU(2) Yang-Mills on the lattice

Abstract

Supersymmetry, like Poincare symmetry, is softly broken at finite lattice spacing provided the gaugino mass term is strongly suppressed. Domain wall fermions provide the mechanism for suppressing this term by approximately imposing chiral symmetry. We present the first numerical simulations of N=1 supersymmetric SU(2) Yang-Mills on the lattice in four dimensions using domain wall fermions.