Supersymmetry restoration in lattice formulations of 2D $\mathcal{N}=(2,2)$ WZ model based on the Nicolai map

TL;DR

This paper demonstrates that certain lattice formulations of the 2D N=(2,2) Wess-Zumino model, based on the Nicolai map, restore supersymmetry and other symmetries in the continuum limit without fine tuning, validated to all orders in perturbation theory.

Contribution

It provides a theoretical proof that supersymmetry and symmetries are restored in these lattice models without fine tuning, supporting their use in correlation function computations.

Findings

Supersymmetry is restored in the continuum limit.

Symmetries are restored without fine tuning.

Restoration holds to all orders in perturbation theory.

Abstract

For lattice formulations of the two-dimensional $\mathcal{N}=(2,2)$ Wess--Zumino (2D $\mathcal{N}=(2,2)$ WZ) model on the basis of the Nicolai map, we show that supersymmetry (SUSY) and other symmetries are restored in the continuum limit without fine tuning, to all orders in perturbation theory. This provides a theoretical basis for use of these lattice formulations for computation of correlation functions.