Dirac monopoles from the Matsumoto non-commutative spheres

2003/04/28 by Tomasz Brzezinski, Brzezinski, Tomasz, Andrzej Sitarz +1
Mathematics · Physics and Astronomy · #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Quantum Algebra (math.QA) #math-ph #math.MP #math.QA

paper · pdf · doi:10.48550/arxiv.math-ph/0304037

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

arxiv created 2003/04/28 · arxiv updated 2009/11/30

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.

Related

• Magnetic monopoles in noncommutative quantum mechanics 2
• On geometric quantization of the Dirac magnetic monopole
• Dirac Monopole in Non-Commutative Space
• Accounting for monopole configurations in Yang-Mills theory in three Euclidean dimensions
• Dirac-Yang monopoles and their regular counterparts