Dirac monopoles from the Matsumoto non-commutative spheres

Details Dirac monopoles from the Matsumoto non-commutative spheres Dirac monopoles from the Matsumoto non-commutative spheres

2003-04-28

arxiv.org/abs/math-ph/0304037v1

Physics

Mathematical Physics

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

Scientific paper

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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