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Dirac monopoles from the Matsumoto non-commutative spheres

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

classification math-phmath.MPmath.QA
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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