Large-$N$ limit of two-dimensional Yang--Mills theory with four supercharges

TL;DR

This paper investigates the large-N behavior of 2D Yang--Mills theory with four supercharges, analyzing internal energy and scalar distributions, and comparing results to the maximally supersymmetric case with holographic implications.

Contribution

It provides the first lattice analysis of scalar distributions and energy behavior in 2D Yang--Mills with four supercharges at large N, highlighting differences from the maximally supersymmetric case.

Findings

Scalar distribution shows no N dependence.

Energy at strong coupling is temperature-independent.

Results differ from maximally supersymmetric case.

Abstract

We study the two-dimensional Yang--Mills theory with four supercharges in the large-$N$ limit. By using thermal boundary conditions, we analyze the internal energy and the distribution of scalars. We compare their behavior to the maximally supersymmetric case with sixteen supercharges, which is known to admit a holographic interpretation. Our lattice results for the scalar distribution show no visible dependence on $N$ and the energy at strong coupling appears independent of temperature.