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RESEARCH PRODUCT

Oscillator realization of the q-deformed anti-de Sitter algebra

P. PrešnajderF. RodenasJ. A. De AzcárragaM. Chaichian

subject

PhysicsChevalley basisAlgebraNuclear and High Energy PhysicsStructure (category theory)RadiusLimit (mathematics)Anti-de Sitter spaceAlgebra over a fieldCasimir elementRealization (systems)

description

Abstract We construct a realization of the q-deformed anti-de Sitter algebra in terms of two q-oscillators. We use the standard Drinfel'd-Jimbo prescription for the q-deformation of the Chevalley basis which we express in terms of q-oscillators. We also discuss the anti-de Sitter radius R → ∞ limit and the structure of the first so (3, 2)q Casimir operator.

https://doi.org/10.1016/0370-2693(92)91396-q