Supersymmetric Yang-Mills Theories from Domain Wall Fermions

TL;DR

This paper explores using domain wall fermions to simulate supersymmetric Yang-Mills theories on the lattice, providing insights into their construction and discussing challenges in extending to N=2 theories.

Contribution

It introduces a novel approach employing domain wall fermions for lattice simulation of supersymmetric theories and discusses associated obstacles.

Findings

Domain wall fermions offer a geometrical perspective for constructing supersymmetric theories.

Progress in simulating N=1 supersymmetric Yang-Mills theories on the lattice.

Discussion of challenges in extending simulations to N=2 theories in four dimensions.

Abstract

We present work in progress on employing domain wall fermions to simulate N=1 supersymmetric Yang-Mills theories on the lattice in d=4 and d=3 dimensions. The geometrical nature of domain wall fermions gives simple insights into how to construct these theories. We also discuss the obstacles associated with simulating the N=2 theory in d=4.