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

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

2004-05-10

arxiv.org/abs/hep-th/0405079v2

J.Phys. A38 (2005) 5133-5158

Physics

High Energy Physics

High Energy Physics - Theory

RevTeX 4, 28 pages, no figures

Scientific paper

10.1088/0305-4470/38/23/005

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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