Born-Infeld strings in brane worlds

Details Born-Infeld strings in brane worlds Born-Infeld strings in brane worlds

2003-11-14

arxiv.org/abs/hep-th/0311121v3

Nucl.Phys. B691 (2004) 79-90

Physics

High Energy Physics

High Energy Physics - Theory

11 REVTEX4 pages, 5 EPS-figures; v1:references and new figure added; Conclusions extended; Accepted for publication in Nucl. P

Scientific paper

10.1016/j.nuclphysb.2004.05.021

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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