q-deformed Dirac Monopole With Arbitrary Charge

Abstract

We construct the deformed Dirac monopole on the quantum sphere for arbitrary charge using two different methods and show that it is a quantum principal bundle in the sense of Brzezinski and Majid. We also give a connection and calculate the analog of its Chern number by integrating the curvature over $S_q^2$.

Technical modifications made on the definition of the base. A more geometrical trivialization is used in section 4