Electric Charges, Magnetic Monopoles and Dyons in ModMax Electrodynamics

Among all models of non-linear electrodynamics, ModMax is the only source-free non-linear extension of Maxwell's theory which is invariant under both conformal and duality transformations. We consider couplings of ModMax to electric and magnetic charged sources with the aim to reveal physical effects which would distinguish ModMax from Maxwell's electrodynamics. To this end we will study whether and how ModMax non-linearity affects properties of electromagnetic interactions of charged objects, in particular the Lorentz force, the Lienard-Wiechert potentials, Dirac's quantization of electric and magnetic charges, Compton scattering in presence of a strong magnetic background.