A novel multi-parameter family of quantum systems with partially broken -fold supersymmetry

2004/05/31 by Artemio Gonzalez-Lopez, Artemio González-López, Toshiaki Tanaka
Mathematics · Physics and Astronomy · #Algebraic structures and combinatorial models #Quantum Mechanics and Non-Hermitian Physics #Quantum chaos and dynamical systems #hep-th #math-ph #math.MP #nlin.SI

paper · pdf · doi:10.1088/0305-4470/38/23/005

published as J.Phys. A38 (2005) 5133-5158 · RevTeX 4, 28 pages, no figures

openalex publication_date 2005/05/25 · arxiv created 2005/06/03 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/30

Abstract

We develop a systematic algorithm for constructing an -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 -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 -fold supersymmetry.

Citations

• A new family of N-fold supersymmetry: type B

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