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.Comment: LaTeX, 39 pages, 21 figures, final version appeared in Nucl. Phys.

Flavour violation with a single generation

“…The extra dimensions can even be infinitely large, as, for instance, in Ref. [9], where well localized gauge-boson zero modes appear. In this case, the role of the radius R of the S 2 sphere is taken by a typical size of the localized gauge zero modes but not by a size of extra dimensions.…”

Six-dimensional Abelian vortices with quadratic curvature self-interactions

“…As discussed in the previous Section, expoenentially decreasing solutions for the warp factors are not possible if µ. More-over, also in the case ǫ = 0 exponentially decreasing warp factors are not allowed. The part of the curve corresponding to µ > leads, for ǫ = 0 to exponentially increasing warp factors, as discussed in [15]. The border point between the regions µ < 0 and µ > 0 of the parameter space is represented by the Bogomol'nyi point where µ = 0, ν = 2 and α = 2 [15].…”

“…The brane source will be described in terms of the Abelian-Higgs model [31] appropriately generalized to the six-dimensional case [15]:…”

“…A cannot be fixed from the relations among the string tensions and it represents a free parameter of the numerical integration. According to the results of [15] the possibility of fixing B through the relations among the string tensions is necessary. This means that in order to hope that warped solutions leading to gravity localization are present in the presence of EGB corrections, we should be able to generalize the relations among the various string tensions which are defined…”

“…Recently, it has been shown that gravity can be localized on a Nielsen-Olesen vortex in the context of the Abelian-Higgs model [15] in a six dimensional space-time. This explicit model leads to warped compactification and it represents an explicit field theoretical realization of the suggestion that a string in six dimensions can lead to the localization of gravity [16] provided certain relations among the string tensions are satisfied.…”