Parasupersymmetry and N-fold Supersymmetry in Quantum Many-Body Systems I. General Formalism and Second Order

Details Parasupersymmetry and N-fold Supersymmetry in Quantum Many-Body Systems I. General Formalism and Second Order Parasupersymmetry and N-fold Supersymmetry in Quantum Many-Body Systems I. General Formalism and Second Order

2006-10-30

arxiv.org/abs/hep-th/0610311v2

Annals Phys.322:2350-2373,2007

Physics

High Energy Physics

High Energy Physics - Theory

25 pages, no figures; typos corrected, version to appear in Annals of Physics

Scientific paper

10.1016/j.aop.2006.11.009

We propose an elegant formulation of parafermionic algebra and parasupersymmetry of arbitrary order in quantum many-body systems without recourse to any specific matrix representation of parafermionic operators and any kind of deformed algebra. Within our formulation, we show generically that every parasupersymmetric quantum system of order p consists of N-fold supersymmetric pairs with N

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