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arxiv: math-ph/0304037 · v1 · pith:BFIIC7YG · submitted 2003-04-28 · math-ph · math.MP· math.QA

Dirac monopoles from the Matsumoto non-commutative spheres

Tomasz Brzezinski , Andrzej Sitarz This is my paper

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keywords diracmatsumotonon-commutativebundlecanonicalclassicalcoincideconnection
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It is shown that the non-commutative three-sphere introduced by Matsumoto is a total space of the quantum Hopf bundle over the classical two-sphere. A canonical connection is constructed, and is shown to coincide with the standard Dirac magnetic monopole.

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