# Spinning vortex braneworld

## TL;DR

This paper investigates spinning vortex solutions in a six-dimensional braneworld model, revealing an upper limit on angular velocity, the importance of angular momentum, and effects on localized matter modes and KK spectrum degeneracy.

## Contribution

It introduces a numerical analysis of stationary spinning vortex solutions in a 6D U(1) gauge theory, highlighting the role of angular momentum and spin effects on the spectrum.

## Key findings

- Existence of an upper limit on angular velocity 
- Vortex spin induces nonzero masses for zero-modes
- Spin mixes KK masses and lifts spectrum degeneracy

## Abstract

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 $\omega$. We find that there is an upper limit on $\omega$, and the vortex configuration should be parameterized by the angular momentum rather than $\omega$. 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.