Continuum limit in numerical simulations of the $\mathcal{N}=2$ Landau–Ginzburg model

DOI10.1093/PTEP/PTZ107zbMATH Open1477.81084arXiv1906.00653OpenAlexW2947868740MaRDI QIDQ5156221

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Publication date: 15 October 2021

Published in: (Search for Journal in Brave)

Abstract: The $mathcalN=2$ Landau--Ginzburg description provides a strongly interacting Lagrangian realization of an $mathcalN=2$ superconformal field theory. It is conjectured that one such example is given by the two-dimensional $mathcalN=2$ Wess--Zumino model. Recently, the conjectured correspondence has been studied by using numerical techniques based on lattice field theory; the scaling dimension and the central charge have been directly measured. We study a single superfield with a cubic superpotential, and give an extrapolation method to the continuum limit. Then, on the basis of a supersymmetric-invariant numerical algorithm, we perform a precision measurement of the scaling dimension through a finite-size scaling analysis.

Full work available at URL: https://arxiv.org/abs/1906.00653

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