Dirac monopoles from the Matsumoto non-commutative spheres

Abstract

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.

4 pages; LaTeX (uses iopart class); to appear in the proceedings of Group24 (Paris, 2002)

Cited by in corpus (1)

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