{N}FOLD Parasupersymmetry
Abstract
We find a new type of nonlinear 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 secondorder {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 RubakovSpiridonov model when {N} = 1 and admits a generalized type C \mathcal{N}fold superalgebra. We conjecture the existence of other "\mathcal{N}fold generalizations" such as \mathcal{N}fold fractional supersymmetry, \mathcal{N}fold orthosupersymmetry, and so on.
 Publication:

Modern Physics Letters A
 Pub Date:
 2007
 DOI:
 10.1142/S0217732307024176
 arXiv:
 arXiv:hepth/0611008
 Bibcode:
 2007MPLA...22.2191T
 Keywords:

 03.65.Fd;
 11.30.Na;
 11.30.Pb;
 02.10.Hh;
 Algebraic methods;
 Nonlinear and dynamical symmetries;
 Supersymmetry;
 Rings and algebras;
 High Energy Physics  Theory;
 Mathematical Physics;
 Mathematics  Mathematical Physics;
 Nonlinear Sciences  Exactly Solvable and Integrable Systems
 EPrint:
 9 pages, no figures