Dyons with potentials: duality and black hole thermodynamics

Understand

A modified version of the double potential formalism for the electrodynamics of dyons is constructed.

• Besides the two vector potentials, this manifestly duality invariant formulation involves four additional potentials, scalar potentials which appear as Lagrange multipliers for the electric and magnetic Gauss constraints and potentials for the longitudinal electric and magnetic fields.
• In this framework, a static dyon appears as a Coulomb-like solution without string singularities.
• Dirac strings are needed only for the Lorentz force law, not for Maxwell's equations.