Numerical study of ADE-type $\mathcal{N}=2$ Landau--Ginzburg models

21 Jun 2019, 15:00
20m
Shimao 1A+1B

Shimao 1A+1B

Parallel Theoretical Developments Theoretical Developments

Speaker

Okuto Morikawa (Kyushu University)

Description

It is believed that the two-dimensional massless $\mathcal{N}=2$ Wess--Zumino model becomes the $\mathcal{N}=2$ superconformal field theory (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.

Author

Okuto Morikawa (Kyushu University)

Presentation materials