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It has been conjectured that the two-dimensional N=2 Wess-Zumino model with aquasi-homogeneous superpotential provides the Landau-Ginzburg description ofthe N=2 superconformal minimal models. For the cubic superpotential W=(lambda)Phi^3/3, it is expected that the Wess-Zumino model describes A_{2} model andthe chiral superfield Phi shows the conformal weight (h,bar{h})=(1/6,1/6) atthe IR fixed point. We study this conjecture by a lattice simulation,extracting the weight from the finite volume scaling of the susceptibility ofthe scalar component in Phi. We adopt a lattice model with the overlap fermion,which possesses a Nicolai map and a discrete R-symmetry. We set a(lambda)=0.3and generate the scalar field configurations by solving the Nicolai map on Ltimes L lattices in the range L=18 - 32. To solve the map, we use theNewton-Raphson algorithm with various initial configurations. The result is1-h-bar{h}=0.660 \pm0.011, which is consistent with the conjecture within thestatistical error, while a systematic error is estimated as less than 0.5 %.

A lattice study of N=2 Landau-Ginzburg model using a Nicolai map