q-quaternions and q-deformed su(2) instantons
نویسندگان
چکیده
منابع مشابه
q–Deformed Quaternions and su(2) Instantons
We have recently introduced the notion of a q-quaternion bialgebra and shown its strict link with the SOq(4)-covariant quantum Euclidean space R 4 q. Adopting the available differential geometric tools on the latter and the quaternion language we have formulated and found solutions of the (anti)selfduality equation [instantons and multi-instantons] of a would-be deformed su(2) Yang-Mills theory...
متن کاملq-Quaternions and q-deformed su(2) instantons
We construct (anti)instanton solutions of a would-be q-deformed su(2) Yang-Mills theory on the quantum Euclidean spaceRq [the SOq(4)-covariant noncommutative space] by reinterpreting the function algebra on the latter as a q-quaternion bialgebra. Since the (anti)selfduality equations are covariant under the quantum group of deformed rotations, translations and scale change, by applying the latt...
متن کاملQ-deformed Su(2) Instantons by Q-quaternions
Interpreting the coordinates of the quantum Euclidean space Rq [the SOq(4)covariant noncommutative space] as the entries of a “q-quaternion matrix” we construct (anti)instanton solutions of a would-be q-deformed su(2) Yang-Mills theory on Rq. Since the (anti)selfduality equations are covariant under the quantum group of deformed rotations, translations and scale change, by applying the latter w...
متن کاملq-Quaternions and deformed su(2) instantons on the quantum Euclidean space R 4 q
We briefly report on our recent results regarding the introduction of a notion of a q-quaternion and the construction of instanton solutions of a would-be deformed su(2) Yang-Mills theory on the corresponding SOq(4)covariant quantum space. As the solutions depend on some noncommuting parameters, this indicates that the moduli space of a complete theory will be a noncommutative manifold.
متن کاملq-deformed dynamics of q-deformed oscillators
We show that an infinite set of q-deformed relevant operators close a partial q-deformed Lie algebra under commutation with the Arik-Coon oscillator. The dynamics is described by the multicommutator: [Ĥ, . . . , [Ĥ, Ô] . . .], that follows a power law which leads to a dynamical scaling. We study the dynamics of the Arik-Coon and anharmonic oscillators and analyze the role of q and the other par...
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ژورنال
عنوان ژورنال: Journal of Mathematical Physics
سال: 2007
ISSN: 0022-2488,1089-7658
DOI: 10.1063/1.2793572