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

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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.
RevTeX 4, 28 pages, no figures

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High Energy Physics - Theory, Mathematical Physics, Exactly Solvable and Integrable Systems

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http://salesiana.dossiersoluciones.com/handle/123456789/52556

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/hep-th/0405079
 http://arxiv.org/abs/hep-th/0405079
 J.Phys. A38 (2005) 5133-5158
 doi:10.1088/0305-4470/38/23/005

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arXiv