Dark Monopoles and SL(2,Z) Duality

Understand

We explore kinetic mixing between two Abelian gauge theories that have both electric and magnetic charges.

• When one of the photons becomes massive, novel effects arise in the low-energy effective theory, including the failure of Dirac charge quantization as particles from one sector obtain parametrically small couplings to the photon of the other.
• We maintain a manifest SL(2,Z) duality throughout our analysis, which is the diagonal subgroup of the dualities of the two un-mixed gauge theories.