# Lattice study of supersymmetry breaking in N=2 supersymmetric quantum mechanics

## TL;DR

This paper employs a direct computational lattice method to study supersymmetry breaking in N=2 supersymmetric quantum mechanics, accurately reproducing known results and analyzing non-perturbative effects like instantons.

## Contribution

It introduces and applies a high-precision lattice computational approach to investigate supersymmetry breaking, improving the evaluation of finite lattice effects and non-perturbative phenomena.

## Key findings

- Numerical realization of the vanishing Witten index.
- Vacuum energy matches known values for strong couplings.
- Reproduction of instanton effects at weak couplings.

## Abstract

We study supersymmetry breaking from a lattice model of N=2 supersymmetric quantum mechanics using the direct computational method proposed in arXiv:1803.07960. The vanishing Witten index is realized as a numerical result in high precision. The expectation value of Hamiltonian is evaluated for the double-well potential. Compared with the previous Monte-Carlo results, the obtained vacuum energy coincides with the known values within small errors for strong couplings. The instanton effect is also reproduced for weak couplings. The used computational method helps us to evaluate the effect of finite lattice spacings more precisely and to study the mechanism of non-perturbative supersymmetry breaking from lattice computations.