2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/52556We 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 figuresHigh Energy Physics - TheoryMathematical PhysicsExactly Solvable and Integrable SystemsA Novel Multi-parameter Family of Quantum Systems with Partially Broken N-fold Supersymmetrytext