Dirac monopoles from the Matsumoto non-commutative spheres
Brzezinski, Tomasz ; Sitarz, Andrzej
arXiv, 0304037 / Harvested from arXiv
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.
Publié le : 2003-04-28
Classification:  Mathematical Physics,  Mathematics - Quantum Algebra
@article{0304037,
     author = {Brzezinski, Tomasz and Sitarz, Andrzej},
     title = {Dirac monopoles from the Matsumoto non-commutative spheres},
     journal = {arXiv},
     volume = {2003},
     number = {0},
     year = {2003},
     language = {en},
     url = {http://dml.mathdoc.fr/item/0304037}
}
Brzezinski, Tomasz; Sitarz, Andrzej. Dirac monopoles from the Matsumoto non-commutative spheres. arXiv, Tome 2003 (2003) no. 0, . http://gdmltest.u-ga.fr/item/0304037/