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At an extremely low-energy scale, it is believed that the two-dimensional$\mathcal{N}=2$ Wess--Zumino model becomes an $\mathcal{N}=2$ superconformalfield theory (SCFT). We study this theoretical conjecture of theLandau--Ginzburg (LG) description by numerical simulations based on asupersymmetric-invariant momentum-cutoff regularization. First, from thetwo-point function of the energy-momentum tensor, we measure the central chargeof the ADE minimal models. Second, we develop a method to take the continuumlimit, and perform a precision measurement of the scaling dimension in the$A$-type minimal model. All our results show a coherence picture beingconsistent with the conjectured LG/SCFT correspondence.

Numerical study of ADE-type $\mathcal{N}=2$ Landau--Ginzburg models