SUSY a consequence of smoothness?

TL;DR

This paper investigates how assumptions like smooth ground state properties and zero vacuum energy can imply supersymmetry in quantum mechanical models, challenging the notion that supersymmetry is necessary for these features.

Contribution

It demonstrates that simple assumptions such as smoothness and vanishing vacuum energy can lead to supersymmetric theories in certain quantum models, offering insights into supersymmetry's origins.

Findings

Smoothness and zero vacuum energy imply supersymmetry in studied models.

Supersymmetry can emerge from basic assumptions without explicit symmetry imposition.

Results suggest alternative routes to supersymmetry in theoretical physics.

Abstract

The consequences of certain simple assumptions like smoothness of ground state properties and vanishing of the vacuum energy (at least perturbatively) are explored. It would be interesting from the point of view of building realistic theories to obtain these properties without supersymmetry. Here we show, however, at least in some quantum mechanical models, that these simple assumptions lead to supersymmetric theories.