Dirac monopoles from the Matsumoto non-commutative spheres
Mathematical Physics
2007-05-23 v1 math.MP
Quantum Algebra
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.
Cite
@article{arxiv.math-ph/0304037,
title = {Dirac monopoles from the Matsumoto non-commutative spheres},
author = {Tomasz Brzezinski and Andrzej Sitarz},
journal= {arXiv preprint arXiv:math-ph/0304037},
year = {2007}
}
Comments
4 pages; LaTeX (uses iopart class); to appear in the proceedings of Group24 (Paris, 2002)