# Cosmic strings in compactified gauge theory

## TL;DR

This paper constructs a vortex solution in a six-dimensional gauge theory coupled to gravity, revealing how the deficit angle depends on gauge coupling ratios and how extra space size varies with distance from the string axis.

## Contribution

It presents a new vortex solution in a compactified six-dimensional gauge theory with gravity, linking deficit angle behavior to gauge coupling ratios and extra space geometry.

## Key findings

- Deficit angle depends on gauge coupling ratio.
- Extra space size varies with distance from string axis.
- Solution derived via dimensional reduction to an abelian Higgs model.

## Abstract

A solution of the vortex type is given in a six-dimensional $SU(2)\times U(1)$ pure gauge theory coupled to Einstein gravity in a compactified background geometry. We construct the solution of an effective abelian Higgs model in terms of dimensional reduction. The solution, however, has a peculiarity in its physically relevant quantity, a deficit angle, which is given as a function of the ratio of the gauge couplings of $SU(2)$ and $U(1)$. The size of the extra space (sphere) is shown to vary with the distance from the axis of the "string".