  Complex vector light fields have become a topic of late due to their exotic
features, such as their non--homogeneous transverse polarisation distributions
and the non-separable coupling between their spatial and polarisation degrees
of freedom. In general, vector beams propagate in free space along straight
lines, being the Airy-vector vortex beams the only known exception. Here, we
introduce a new family of vector beams that exhibit novel properties that have
not been observed before, such as their ability to freely accelerate along
parabolic trajectories. In addition, their transverse polarisation distribution
only contains polarisation states oriented at exactly the same angle but of
different ellipticity. We anticipate that these novel vector beams might not
only find applications in fields such as optical manipulation, microscopy or
laser material processing, but extend to others.
