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Spinning vortex braneworld

A spinning vortex is considered in the context of the braneworld. We numerically analyze the profiles of a stationary solution in a six-dimensional U(1) gauge theory, and clarify their dependence on the angular velocity in the field space $ω$. We find that there is an upper limit on $ω$, and the vortex configuration should be parameterized by the angular momentum rather than $ω$. We also discuss matter modes localized on the vortex. We show that the vortex spin mixes the KK masses and induces nonvanishing masses to the zero-modes. It also resolves the degeneracy in the KK spectrum that the static vortex had.