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- W2034003600 abstract "It has been conjectured that the two-dimensional N=2 Wess-Zumino model with a quasi-homogeneous superpotential provides the Landau-Ginzburg description of the 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 and the chiral superfield Phi shows the conformal weight (h,bar{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 Phi. We adopt a lattice model with the overlap fermion, which possesses a Nicolai map and a discrete R-symmetry. We set a(lambda)=0.3 and generate the scalar field configurations by solving the Nicolai map on L times L lattices in the range L=18 - 32. To solve the map, we use the Newton-Raphson algorithm with various initial configurations. The result is 1-h-bar{h}=0.660 pm0.011, which is consistent with the conjecture within the statistical error, while a systematic error is estimated as less than 0.5 %." @default.
- W2034003600 created "2016-06-24" @default.
- W2034003600 creator A5048041409 @default.
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- W2034003600 date "2011-04-01" @default.
- W2034003600 modified "2023-10-18" @default.
- W2034003600 title "Lattice study ofN=2Landau-Ginzburg model using a Nicolai map" @default.
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- W2034003600 doi "https://doi.org/10.1103/physrevd.83.074502" @default.
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