q-Fuzzy Spheres and Quantum Differentials on B q [SU 2] and U q (su 2)
نویسندگان
چکیده
منابع مشابه
q-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...
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Following the introduction of the invariant distance on the non-commutative C-algebra of the quantum group SUq(2), the Green function and the Kernel on the q-homogeneous space M = SU(2)q/U(1) are derived. A path integration is formulated. Green function for the free massive scalar field on the non-commutative Einstein space R ×M is presented.
متن کاملq–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...
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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 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...
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ژورنال
عنوان ژورنال: Letters in Mathematical Physics
سال: 2011
ISSN: 0377-9017,1573-0530
DOI: 10.1007/s11005-011-0523-8