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

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2005-06-10
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IOP Publishing
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We develop a systematic algorithm for constructing an X-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 multiparameter family of Ar-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 M-fold supersymmetry.
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©IOP Publishing. This work was partially supported by Spain’s DGI under grant no. BFM2002–02646 (AG-L), as well as by a Spanish Ministry of Education, Culture and Sports research fellowship (TT).
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