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arxiv: hep-th/0408219 · v1 · submitted 2004-08-28 · ✦ hep-th · gr-qc

Localizing global hedgehogs on the brane

classification ✦ hep-th gr-qc
keywords defectsbraneglobalhighlocalizationscalaraccomplishedamplitude
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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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