Stable, spinning embedded vortices

The spinning vortex is a stationary generalization of the Nielsen-Olesen vortex involving a linear time dependence of the Goldstone boson. Here we show that this vortex can be embedded in models with SU(2${)}_{\mathrm{global}}$×U(1${)}_{\mathrm{local}}$ symmetry. We also map the stability sector in parameter space and show that for sufficiently large spinning velocities the vortex is stable for any value of the Higgs self-coupling parameter β. This is a significant improvement of stability compared to the semilocal vortex introduced by Vachaspati and Achucarro which is stable only for β