Warped compactification on Abelian vortex in six dimensions

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.