N-fold Parasupersymmetry

Abstract

We find a new type of non-linear supersymmetries, called N-fold parasupersymmetry, which is a generalization of both N-fold supersymmetry and parasupersymmetry. We provide a general formulation of this new symmetry and then construct a second-order N-fold parasupersymmetric quantum system where all the components of N-fold parasupercharges are given by type A N-fold supercharges. We show that this system exactly reduces to the Rubakov-Spiridonov model when N=1 and admits a generalized type C 2N-fold superalgebra. We conjecture the existence of other `N-fold generalizations' such as N-fold fractional supersymmetry, N-fold orthosupersymmetry, and so on.

10 pages, no figures; Intro. expanded

References in corpus (3)

• PT-Symmetric Quantum Theory Defined in a Krein Space
• A Novel Multi-parameter Family of Quantum Systems with Partially Broken N-fold Supersymmetry
• General Aspects of PT-Symmetric and P-Self-Adjoint Quantum Theory in a Krein Space

Cited by in corpus (1)

• Existence of Different Intermediate Hamiltonians in Type A N-fold Supersymmetry