出版社：SISSA, Scuola Internazionale Superiore di Studi Avanzati
摘要：The two-dimensional N = 2 Wess-Zumino model with a quasi-homogeneous superpotential is believed to provide a Landau-Ginzburg description of the two-dimensional N = 2 superconformal minimal model. For the cubic superpotential W = λΦ3/3, it is expected that the Wess- Zumino model describes A2 model and the chiral superfield Φ shows the conformal weight (h,¯h) = (1/6,1/6) at the IR fixed point. We study this conjecture by a lattice simulation, extracting the weight from the finite volume scaling of the susceptibility of the scalar component in Φ. We adopt a lattice model with the overlap fermion, which possesses a Nicolai map and a discrete R-symmetry. We set aλ = 0.3 and sample the scalar configurations by solving the Nicolai map on each L×L lattices, with L = 18,20,22,24,26,28,30, 32. To solve the map, we use the Newton-Raphson algorithm with various initial configurations. About 640 configurations are analyzed on each L, and the fermion determinants are explicitly evaluated. The result is 1−h−¯h = 0.660±0.011, which is consistent with the conjecture.
