q-deformed Dirac Monopole With Arbitrary Charge

TL;DR

This paper constructs a q-deformed Dirac monopole with arbitrary charge on a quantum sphere, demonstrating its structure as a quantum principal bundle and computing its topological invariant.

Contribution

It introduces a novel construction of the q-deformed Dirac monopole for any charge using two methods and analyzes its geometric and topological properties.

Findings

Monopole is a quantum principal bundle in the sense of Brzezinski and Majid.

Connection and curvature are explicitly constructed.

Chern number analog is calculated for the quantum monopole.

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 $S^2_q$.