Exact supersymmetry on the lattice: the Wess-Zumino model

TL;DR

This paper demonstrates that the lattice Wess-Zumino model with Ginsparg-Wilson fermions maintains a generalized, non-linear supersymmetry invariance, which is systematically derived and depends on the superpotential parameters.

Contribution

It introduces a novel generalized supersymmetry transformation for the lattice Wess-Zumino model, constructed through an iterative coupling constant procedure.

Findings

Lattice Wess-Zumino model is invariant under a new supersymmetry transformation.

The transformation is non-linear and depends on superpotential parameters.

Implications for lattice supersymmetry formulations are discussed.

Abstract

It is shown that the lattice Wess-Zumino model written in terms of Ginsparg-Wilson fermions is invariant under a generalized supersymmetry transformation which is determined by an iterative procedure in the coupling constant. This transformation is non-linear in the scalar fields and depends on the superpotential parameters. The implications of this lattice invariance are discussed.