EXTENDED WEYL–HEISENBERG ALGEBRA AND RUBAKOV–SPIRIDONOV SUPERALGEBRA: ANYONIC REALIZATIONS

DOI10.1142/S0217732303009344zbMath1076.81520arXivhep-th/0008121OpenAlexW2963672034MaRDI QIDQ5710946

Jamila Douari, Mohammed Daoud

Publication date: 9 December 2005

Published in: Modern Physics Letters A (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/hep-th/0008121

zbMATH Keywords

anyonsfractional SUSYgeneralized Weyl-Heisenberg algebra

Mathematics Subject Classification ID

Applications of Lie (super)algebras to physics, etc. (17B81) Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, (W)-algebras and other current algebras and their representations (81R10) Many-body theory; quantum Hall effect (81V70) Groups and algebras in quantum theory and relations with integrable systems (81R12)

Related Items (1)

Deformed \(C_{\lambda}\)-extended Heisenberg algebra in noncommutative phase-space

Cites Work

• Deformed Heisenberg algebra, fractional spin fields, and supersymmetry without fermions
• Statistical mechanics of \(qp\)-bosons in \(D\) dimensions
• \(C_ \lambda\)-extended harmonic oscillator and (para)supersymmetric quantum mechanics.
• Random walk and the heat equation on superspace and anyspace
• Group theoretical foundations of fractional supersymmetry
• Supersymmetric sine algebra and degeneracy of Landau levels

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