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Localizing global hedgehogs on the brane

Inyong Cho
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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 $AdS_4/AdS_5$ background. In the extra dimension, the localization amplitude for the 4D defects is high where the warp factor is high.

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Inyong Cho. 2004-08-28. Localizing global hedgehogs on the brane. https://doi.org/10.1103/physrevd.70.083524

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