González López, ArtemioTanaka, Toshiaki2023-06-202023-06-202005-06-100305-447010.1088/0305-4470/38/23/005https://hdl.handle.net/20.500.14352/51548©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).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.engjournal articlehttp://dx.doi.org/10.1088/0305-4470/38/23/005http://iopscience.iop.orghttp://arxiv.org/abs/hep-th/0405079open access51-73Orthogonal polynomialsMechanicsPotentialsOperatorsFísica-Modelos matemáticosFísica matemática