Regular compactifications and Higgs model vortices

TL;DR

This paper provides numerical solutions for a global string in six-dimensional spacetime, demonstrating gravity confinement in four dimensions and analyzing how solutions depend on cosmological and Higgs potential parameters.

Contribution

It offers the first full numerical solutions for regular global string configurations in six dimensions, exploring parameter dependencies and their phenomenological implications.

Findings

Solutions are regular everywhere and confine gravity in four dimensions.

Solutions depend on the negative cosmological constant and Higgs potential parameters.

The study clarifies the parameter space for viable models and compares with previous work.

Abstract

We present full numerical solutions to the system of a global string embedded in a six-dimensional space time. The solutions are regular everywhere and do confine gravity in our four-dimensional world. They depend on the value of the (negative) cosmological constant in the bulk and on the parameters of the Higgs potential, and we perform a systematic study to determine their allowed values. We also comment on the relation of our results with previous studies on the same subject and on their phenomenological viability.