Numerical results of two-dimensional N=(2,2) super Yang-Mills theory

TL;DR

This paper presents numerical simulation results of a lattice formulation of 2D N=(2,2) super Yang-Mills theory, focusing on correlation functions and supersymmetry restoration.

Contribution

First numerical study of a lattice formulation of 2D N=(2,2) super Yang-Mills theory by Suzuki and Taniguchi, analyzing correlation functions and supersymmetry conditions.

Findings

Results consistent with scalar mass tuning restoring supersymmetry

Correlation functions measured align with theoretical expectations

Supersymmetry restoration remains inconclusive

Abstract

We report the results of a numerical simulation of a lattice formulation of the two-dimensional N=(2,2) super Yang-Mills theory proposed by Suzuki and Taniguchi. We measure the 1-point functions and 2-point functions. The scenario is that only tuning of the scalar mass to a specific value gives a supersymmetric continuum limit. Our results are consistent with this scenario although conclusive results on the restoration of supersymmetry have not been obtained.