منابع مشابه
Fuzzy Torus and q-Deformed Lie Algebra
It will be shown that the defining relations for fuzzy torus and deformed (squashed) sphere proposed by J. Arnlind, et al (hep-th/0602290) can be rewriten as a new algebra which contains q-deformed commutators. The quantum parameter q (|q| = 1) is a function of ~. It is shown that the q → 1 limit of the algebra with the parameter μ < 0 describes fuzzy S and that the squashed S with q 6= 1 and μ...
متن کاملq-deformed Lie algebras and fractional calculus
Fractional calculus and q-deformed Lie algebras are closely related. Both concepts expand the scope of standard Lie algebras to describe generalized symmetries. For the fractional harmonic oscillator, the corresponding q-number is derived. It is shown, that the resulting energy spectrum is an appropriate tool e.g. to describe the ground state spectra of even-even nuclei. In addition, the equiva...
متن کاملq-Deformed Superconformal Algebra on Quantum Superspace
A quantum deformation of 4-dimensional superconformal algebra realized on quantum superspace is investigated. We study the differential calculus and the action of the quantum generators corresponding to slq(1|4) which act on the quantum superspace. We derive deformed su(1|2, 2) algebras from the deformed sl(1|4) algebra. Through a contraction procedure we obtain a deformed super-Poincaré algebr...
متن کامل1 REPRESENTATIONS OF THE q-DEFORMED ALGEBRA U ′ q (so4)
We study the nonstandard q-deformation U ′ q (so 4) of the universal enveloping algebra U (so 4) obtained by deforming the defining relations for skew-symmetric generators of U (so 4). This algebra is used in quantum gravity and algebraic topology. We construct a homomor-phism φ of U ′ q (so 4) to the certain nontrivial extension of the Drinfeld–Jimbo quantum algebra U q (sl 2) ⊗2 and show that...
متن کاملA q - Lorentz Algebra From q - Deformed Harmonic Oscillators
A mapping between the operators of the bosonic oscillator and the Lorentz rotation and boost generators is presented. The analog of this map in the qdeformed regime is then applied to q-deformed bosonic oscillators to generate a q-deformed Lorentz algebra, via an inverse of the standard chiral decomposition. A fundamental representation, and the co-algebra structure, are given, and the generato...
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ژورنال
عنوان ژورنال: Physics Letters B
سال: 2006
ISSN: 0370-2693
DOI: 10.1016/j.physletb.2006.05.052