Polynomial deformations of osp(1/2) and generalized parabosons

DOI10.1063/1.530904zbMath0856.17024arXivhep-th/9410145OpenAlexW2079397450MaRDI QIDQ4873292

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Publication date: 4 June 1996

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/hep-th/9410145

zbMATH Keywords

irreducible representationsdeformed oscillator algebraspolynomial deformationsLie superalgebra \(osp(1/2)\)generalized paraboson algebra

Mathematics Subject Classification ID

Quantum groups (quantized enveloping algebras) and related deformations (17B37) Finite-dimensional groups and algebras motivated by physics and their representations (81R05) Graded Lie (super)algebras (17B70)

Related Items (5)

Bose description of the deformed parabose oscillator with \(Z_p\)-graded reflection symmetry ⋮ JORDAN–SCHWINGER-TYPE REALIZATIONS OF THREE-DIMENSIONAL POLYNOMIAL ALGEBRAS ⋮ Holstein–Primakoff realization of Higgs algebra and its q-extension ⋮ Modified Pauli matrix and spin algebra from the Z₂-decomposition of the parafermionic Fock space ⋮ Parafermion algebra with bilinear relation

Cites Work

• Generalized deformed parafermions, nonlinear deformations of \(\text{so}(3)\) and exactly solvable potentials
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• A CLASSICAL REALIZATION OF QUANTUM ALGEBRAS
• q-analogues of the parabose and parafermi oscillators and representations of quantum algebras
• Representations of Osp(2, 1) and the metaplectic representation
• On quantization of simple harmonic oscillators
• Generalized deformed oscillator and nonlinear algebras
• On a general framework for q-particles, paraparticles and q-paraparticles through deformations
• Bose realization of a non-canonical Heisenberg algebra
• Irreducible representations of the osp(2,1) and spl(2,1) graded Lie algebras
• Quantization of U_q(osp(1/2n)) with deformed para-Bose operators
• Generalized deformed algebras F(A1) and their applications
• Parabosons, Virasoro-type algebras and their deformations
• Unified approach to the analogues of single-photon and multiphoton coherent states for generalized bosonic oscillators
• R-matrix formulation of deformed boson algebra

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