  We present an experimental and theoretical study of the 2D dynamics of
electrically charged nanoparticles trapped under a free surface of superfluid
helium in a static vertical electric field. We focus on the dynamics of
particles driven by the interaction with quantized vortices terminating at the
free surface. We identify two types of particle trajectories and the associated
vortex structures: vertical linear vortices pinned at the bottom of the
container and half-ring vortices travelling along the free surface of the
liquid.
