Wess-Zumino model with exact supersymmetry on the lattice
Marisa Bonini, Alessandra Feo
TL;DR
This paper presents a lattice formulation of the four-dimensional Wess-Zumino model that maintains exact supersymmetry at finite lattice spacing using Ginsparg-Wilson fermions, with a detailed algebraic closure proof.
Contribution
It introduces a novel lattice formulation of the Wess-Zumino model with exact supersymmetry, including an explicit supersymmetry transformation and algebra closure proof.
Findings
Exact supersymmetry preserved on the lattice.
Explicit supersymmetry transformation derived.
Algebra closure demonstrated at finite lattice spacing.
Abstract
A lattice formulation of the four dimensional Wess-Zumino model that uses Ginsparg-Wilson fermions and keeps exact supersymmetry is presented. The supersymmetry transformation that leaves invariant the action at finite lattice spacing is determined by performing an iterative procedure in the coupling constant. The closure of the algebra, generated by this transformation is also showed.
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