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Volume 363 - 37th International Symposium on Lattice Field Theory (LATTICE2019) - Main session
Numerical study of ADE-type $\mathcal{N}=2$ Landau-Ginzburg models
O. Morikawa
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Pre-published on: 2019 December 05
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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 $\mathcal{N}=2$ superconformal field theory (SCFT). We study this theoretical conjecture of the Landau-Ginzburg (LG) description by numerical simulations based on a supersymmetric-invariant momentum-cutoff regularization. First, from the two-point function of the energy-momentum tensor, we measure the central charge of the ADE minimal models. Second, we develop a method to take the continuum limit, and perform a precision measurement of the scaling dimension in the $A$-type minimal model. All our results show a coherence picture being consistent with the conjectured LG/SCFT correspondence.
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