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arXiv · hep-th/0311121

Born-Infeld strings in brane worlds

Yves Brihaye·Betti Hartmann
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Abstract

We study Born-Infeld strings in a six dimensional brane world scenario recently suggested by Giovannini, Meyer and Shaposhnikov (GMS). In the limit of the Einstein-Abelian-Higgs model, we classify the solutions found by GMS. Especially, we point out that the warped solutions, which lead to localisation of gravity, are the - by the presence of the cosmological constant - deformed inverted string solutions. Further, we construct the Born-Infeld analogues of the anti-warped solutions and determine the domain of existence of these solutions, while a analytic argument leads us to a "no-go" hypothesis: solutions which localise gravity do NOT exist in a 6 dimensional Einstein-Born-Infeld-Abelian-Higgs (EBIAH) brane world scenario. This latter hypothesis is confirmed by our numerical results.

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Yves Brihaye, Betti Hartmann. 2004-05-13. Born-Infeld strings in brane worlds. https://doi.org/10.1016/j.nuclphysb.2004.05.021

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