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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 thecontinuum limit without fine tuning, to all orders in perturbation theory. Thisprovides a theoretical basis for use of these lattice formulations forcomputation of correlation functions.

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