Vacuum energy of two-dimensional N=(2,2) super Yang-Mills theory

TL;DR

This study uses lattice simulations to measure the vacuum energy of 2D N=(2,2) super Yang-Mills theory, providing evidence consistent with unbroken supersymmetry within measurement uncertainties.

Contribution

First lattice measurement of the vacuum energy in 2D N=(2,2) super Yang-Mills theory, offering quantitative insights into supersymmetry breaking.

Findings

Vacuum energy density measured as 0.09(9)(+10-8) g^2

Results are consistent with unbroken supersymmetry

Measurement uncertainties prevent ruling out very small non-zero vacuum energy

Abstract

We measure the vacuum energy of two-dimensional N=(2,2) super Yang-Mills theory using lattice simulation. The obtained vacuum energy density is E_0=0.09(9)(+10-8) g^2, where the first error is the systematic and the second is the statistical one, measured in the dimensionful gauge coupling g which governs the scale of the system. The result is consistent with unbroken supersymmetry, although we cannot exclude a possible very small non-zero vacuum energy.