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arXiv · 1906.00653

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

Okuto Morikawa
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Abstract

The $\mathcal{N}=2$ Landau--Ginzburg description provides a strongly interacting Lagrangian realization of an $\mathcal{N}=2$ superconformal field theory. It is conjectured that one such example is given by the two-dimensional $\mathcal{N}=2$ 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.

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Okuto Morikawa. 2019-06-03. Continuum limit in numerical simulations of the $\mathcal{N}=2$ Landau--Ginzburg model. https://doi.org/10.1093/ptep/ptz107

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