A new family of N-fold supersymmetry: type B

2003/07/31 by Artemio Gonzalez-Lopez, Artemio González-López, Toshiaki Tanaka · 2 citations
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Quantum Mechanics and Non-Hermitian Physics #Quantum chaos and dynamical systems #hep-th #math-ph #math.MP #nlin.SI #quant-ph

paper · pdf · doi:10.1016/j.physletb.2003.10.119

published as Phys.Lett. B586 (2004) 117-124 · 12 pages, minor types corrected, references updated, DOI added

openalex publication_date 2004/03/07 · arxiv created 2004/03/29 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/29

Abstract

We construct a new family of N-fold supersymmetric systems which is referred to as “type B”. A higher-derivative representation of the N-fold supercharge for this new family is given by a deformation of the type A N-fold supercharge. By utilizing the same method as in the sl(2) construction of type A N-fold supersymmetry, we show that this family includes two of the quasi-solvable models of Post–Turbiner type.

Cited by

• A novel multi-parameter family of quantum systems with partially broken -fold supersymmetry
• Invisible nuclear system

Related

• A novel multi-parameter family of quantum systems with partially broken -fold supersymmetry
• A Many-body Generalization of Quasi-solvable Models with Type C N-fold Supersymmetry (I) Regular Cases
• Nonperturbative Aspects in N-fold Supersymmetry
• New variants of N=3,4 superconformal mechanics
• Supersymmetric Models with Product Groups and Field Dependent Gauge Couplings