  Electrodynamic phenomena related to vortices in superconductors have been
studied since their prediction by Abrikosov, and seem to hold no fundamental
mysteries. However, most of the effects are treated separately, with no guiding
principle. We demonstrate that the relativistic vortex worldsheet in spacetime
is the object that naturally conveys all electric and magnetic information, for
which we obtain simple and concise equations. Breaking Lorentz invariance leads
to down-to-earth Abrikosov vortices, and special limits of these equations
include for instance dynamic Meissner screening and the AC Josephson relation.
On a deeper level, we explore the electrodynamics of two-form sources in the
absence of electric monopoles, in which the electromagnetic field strength
itself acquires the characteristics of a gauge field. This novel framework
leaves room for unexpected surprises.
