  We use holography to investigate the dynamics of a vortex-anti-vortex dipole
in a strongly coupled superfluid in 2+1 dimensions. The system is evaluated in
numerical real-time simulations in order to study the evolution of the vortices
as they approach and eventually annihilate each other. A tracking algorithm
with sub-plaquette resolution is introduced which permits a high-precision
determination of the vortex trajectories. With the increased precision of the
trajectories it becomes possible to directly compute the vortex velocities and
accelerations. We find that in the holographic superfluid the vortices follow
universal trajectories independent of their initial separation, indicating that
a vortex-anti-vortex pair is fully characterized by its separation. Subtle
non-universal effects in the vortex motion at early times of the evolution can
be fully attributed to artifacts due to the numerical initialization of the
vortices. We also study the dependence of the dynamics on the temperature of
the superfluid.
