TL;DR
This paper studies how 4D topological global defects, like hedgehogs, can be localized on a brane within a 5D spacetime, revealing conditions under which these defects form and are confined.
Contribution
It demonstrates the formation and localization of 4D global defects on a brane in 5D, specifically in an AdS background, using a scalar field ansatz.
Findings
Defects form only in AdS_4/AdS_5 backgrounds.
Localization amplitude correlates with the warp factor.
Static-hedgehog configurations are achievable in this setup.
Abstract
We investigate the localization of 4D topological global defects on the brane embedded in 5D. The defects are induced by 5D scalar fields with a symmetry-breaking potential. Taking an ansatz which separates the scalar field into the 4D and the extra-D part, we find that the static-hedgehog configuration is accomplished and the defects are formed only in the background. In the extra dimension, the localization amplitude for the 4D defects is high where the warp factor is high.
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