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 reduce supersymmetry breaking.

Contribution

It introduces a novel application of domain wall fermions for simulating supersymmetric gauge theories on the lattice, advancing numerical methods in the field.

Findings

Supersymmetry is softly broken at finite lattice spacing.

Domain wall fermions effectively suppress gaugino mass terms.

First successful numerical simulation of N=1 supersymmetric SU(2) Yang-Mills in 4D.

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 on the lattice. We present the first numerical simulations of N=1 supersymmetric SU(2) Yang-Mills on the lattice in d=4 dimensions using domain wall fermions.