q-Quaternions and deformed su(2) instantons on the quantum Euclidean space R_q^4

Gaetano Fiore

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arXiv · hep-th/0604032

q-Quaternions and deformed su(2) instantons on the quantum Euclidean space R_q^4

Gaetano Fiore

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Abstract

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 SO_q(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.

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BibTeX RIS

Gaetano Fiore. 2006-04-05. q-Quaternions and deformed su(2) instantons on the quantum Euclidean space R_q^4. https://arxiv.org/abs/hep-th/0604032

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