17-20 December 2018
Kenkyu-Honkan bldg. 1F
Japan timezone
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Kenkyu-Honkan bldg. 1F - Kobayashi Hall

Numerical study of the $\mathcal{N}=2$ Landau--Ginzburg model


  • Mr. Okuto MORIKAWA


It is believed that the two-dimensional massless $\mathcal{N}=2$ Wess--Zumino model becomes the $\mathcal{N}=2$ SCFT in the IR limit. We examine this theoretical conjecture of the Landau--Ginzburg (LG) description of the $\mathcal{N}=2$ SCFT by numerical simulations on the basis of a supersymmetric-invariant momentum-cutoff regularization. We study one or two supermultiplets with various superpotentials. From a two-point correlation function in the IR region, we measure the central charge, which is consistent with the conjectured LG description of the ADE minimal models. Our result supports the theoretical conjecture and, at the same time, indicates a possible computational method of correlation functions in the $\mathcal{N}=2$ SCFT from the LG description.