منابع مشابه
Modiied Relativity from the -deformed Poincar E Algebra
The theory of the-deformed Poincar e algebra is applied to the analysis of various phenomena in special relativity, quantum mechanics and eld theory. The method relies on the development of series expansions in ?1 of the generalised Lorentz transformations, about the special-relativistic limit. Emphasis is placed on the underlying assumptions needed in each part of the discussion, and on in pri...
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 کاملFuzzy 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 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 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: Communications in Mathematical Physics
سال: 2003
ISSN: 0010-3616,1432-0916
DOI: 10.1007/s00220-003-0962-x