q-Quaternions and deformed su(2) instantons on the quantum Euclidean space R 4 q
نویسنده
چکیده
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.
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...
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تاریخ انتشار 2006