English

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

High Energy Physics - Lattice 2019-08-19 v2 High Energy Physics - Theory

Abstract

At an extremely low-energy scale, it is believed that the two-dimensional N=2\mathcal{N}=2 Wess--Zumino model becomes an N=2\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 AA-type minimal model. All our results show a coherence picture being consistent with the conjectured LG/SCFT correspondence.

Keywords

Cite

@article{arxiv.1908.03411,
  title  = {Numerical study of ADE-type $\mathcal{N}=2$ Landau--Ginzburg models},
  author = {Okuto Morikawa},
  journal= {arXiv preprint arXiv:1908.03411},
  year   = {2019}
}

Comments

7 pages, 3 figures, 3 tables, talk presented at the 37th International Symposium on Lattice Field Theory, 16-22 June 2019, Wuhan, China

R2 v1 2026-06-23T10:43:41.033Z