Group theoretical foundations of fractional supersymmetry
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Publication:5284297
DOI10.1063/1.531451zbMath0865.58052arXivhep-th/9506177OpenAlexW2074712558MaRDI QIDQ5284297
Alan J. Macfarlane, José A. de Azcárraga
Publication date: 13 July 1997
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/hep-th/9506177
Supersymmetric field theories in quantum mechanics (81T60) Applications of global analysis to the sciences (58Z05) Supersymmetry and quantum mechanics (81Q60)
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Cites Work
- Dynamical breaking of supersymmetry
- Reality in the differential calculus on \(q\)-Euclidean spaces
- Spin chains viewed as the fermionic parts of supersymmetric quantum mechanical models.
- PARAGRASSMANN ANALYSIS AND QUANTUM GROUPS
- EXTENDED FRACTIONAL SUPERSYMMETRIC QUANTUM MECHANICS
- Positive discrete series of osp(2‖2,R) and (para)supersymmetric quantum mechanics
- Parasupersymmetry in quantum mechanics
- The geometry of the one-dimensional supersymmetric non-linear sigma models
- On parasupersymmetric Hamiltonians and vector mesons in magnetic fields
- Hilbert spaces of analytic functions and generalized coherent states
- A Generalized Method of Field Quantization