Warped compactification on Abelian vortex in six dimensions

TL;DR

This paper explores how gravity can be localized on a vortex in six-dimensional space-time with negative cosmological constant, finding conditions for warped compactification and regular solutions, including higher winding numbers.

Contribution

It demonstrates the existence of regular warped compactifications on Abelian vortices in six dimensions, extending solutions to higher winding numbers and analyzing the thin defect limit.

Findings

Warped compactification solutions are found in a six-dimensional Abelian Higgs model.

Regular solutions exist for higher winding numbers.

Conditions for gravity localization on the vortex are identified.

Abstract

We consider the possibility of localizing gravity on a Nielsen-Olesen vortex in the context of the Abelian Higgs model. The vortex lives in a six-dimensional space-time with negative bulk cosmological constant. In this model we find a region of the parameter space leading, simultaneously, to warped compactification and to regular space-time geometry. A thin defect limit is studied. Regular solutions describing warped compactifications in the case of higher winding number are also presented.