Unbroken discrete supersymmetry

TL;DR

This paper presents a specific example showing that discrete supersymmetry can remain unbroken without conflicting with observations, potentially addressing the hierarchy problem related to the cosmological constant.

Contribution

It introduces a novel discrete form of supersymmetry that remains unbroken and reduces the hierarchy between the cosmological constant and vacuum energies.

Findings

Supersymmetry can be unbroken with observational consistency.

Discrete supersymmetry partially addresses the hierarchy problem.

The construction offers new theoretical insights into supersymmetry and cosmology.

Abstract

We demonstrate, by giving a specific example, that supersymmetry can be left unbroken without running into conflict with observation. The key idea is to employ a discrete form of supersymmetry. Amongst other interesting features, this construction goes roughly half the way in removing the hierarchy between the observed cosmological constant and the vacuum energies expected from field theory.