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

Abstract

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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• Effect of Position-dependent Mass on Dynamical Breaking of Type B and Type X_2 N-fold Supersymmetry
• Quasi-exact solvability beyond the SL(2) algebraization
• N-fold Supersymmetry in Quantum Mechanical Matrix Models
• N-fold Supersymmetric Quantum Mechanics with Reflections
• On General Form of N-fold Supersymmetry
• Simultaneous Type A N-fold Supersymmetry with Two Different Values of N
• Quasi-exact solvability and intertwining relations
• Simultaneous Ordinary and Type A N-fold Supersymmetries in Schroedinger, Pauli, and Dirac Equations
• N-fold Parasupersymmetry
• A New Construction of Quasi-solvable Quantum Many-body Systems of Deformed Calogero-Sutherland Type
• Type B 3-fold Supersymmetry and Non-polynomial Invariant Subspaces
• GL(3,C) Invariance of Type B 3-fold Supersymmetric Systems