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

Artemio Gonzalez-Lopez·Toshiaki Tanaka
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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.

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Artemio Gonzalez-Lopez, Toshiaki Tanaka. 2005-06-03. A Novel Multi-parameter Family of Quantum Systems with Partially Broken N-fold Supersymmetry. https://doi.org/10.1088/0305-4470%2F38%2F23%2F005

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