Witten index from lattice simulation

TL;DR

This paper introduces a lattice simulation method to measure the Witten index, aiding the study of supersymmetry breaking, and validates it through numerical results in supersymmetric quantum mechanics.

Contribution

The paper presents a novel lattice simulation approach for calculating the Witten index, a key quantity in supersymmetry research.

Findings

Successful measurement of the Witten index in supersymmetric quantum mechanics

Validation of the method against known index values

Potential application to broader supersymmetry models

Abstract

I propose a method for measuring the Witten index using a lattice simulation. The index is useful to discuss spontaneous breaking of supersymmetry. As a test of the method, I also report some numerical results for the supersymmetric quantum mechanics, for which the index is known.