2018年10月5日

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

JHEP
• Okuto Morikawa

1812

045

DOI
10.1007/JHEP12(2018)045

In the low energy limit, the two-dimensional massless $\mathcal{N}=2$
Wess--Zumino (WZ) model with a quasi-homogeneous superpotential is believed to
become a superconformal field theory. This conjecture of the Landau--Ginzburg
(LG) description has been studied numerically in the case of the $A_2$, $A_3$,
and $E_6$ minimal models. In this paper, by using a supersymmetric-invariant
non-perturbative formulation, we simulate the WZ model with two superfields
corresponding to the $D_3$, $D_4$, and $E_7$ models. Then, we numerically
determine the central charge, and obtain the results that are consistent with
the conjectured correspondence. We hope that this numerical approach, when
further developed, will be useful to investigate superstring theory via the
LG/Calabi--Yau correspondence.

リンク情報
DOI
https://doi.org/10.1007/JHEP12(2018)045
arXiv
http://arxiv.org/abs/arXiv:1810.02519
Arxiv Url
http://arxiv.org/abs/1810.02519v3
Arxiv Url
http://arxiv.org/pdf/1810.02519v3 本文へのリンクあり