A Novel Multi-parameter Family of Quantum Systems with Partially Broken N-fold Supersymmetry

TL;DR

This paper introduces a new multi-parameter family of N-fold supersymmetric quantum systems, called type C, constructed via a systematic algorithm, revealing phenomena like partial supersymmetry breaking.

Contribution

It presents a systematic method to construct N-fold supersymmetric models and introduces the novel type C family with partial supersymmetry breaking features.

Findings

New multi-parameter family of models called type C

Partial breaking of N-fold supersymmetry observed

Systematic algorithm for constructing supersymmetric systems

Abstract

We develop a systematic algorithm for constructing an N-fold supersymmetric system from a given vector space invariant under one of the supercharges. Applying this algorithm to spaces of monomials, we construct a new multi-parameter family of N-fold supersymmetric models, which shall be referred to as "type C". We investigate various aspects of these type C models in detail. It turns out that in certain cases these systems exhibit a novel phenomenon, namely, partial breaking of N-fold supersymmetry.