Born–Infeld strings in brane worlds

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 EinsteinBorn-Infeld-Abelian-Higgs (EBIAH) brane world scenario. This latter hypothesis is confirmed by our numerical results.

Gravity Localization in a 6-Dimensional Brane World

“…This completes the analysis done in [8,14] in the sense that here we have determined the dependence of γ c and γ W on both α and n.…”

“…Let us remark that it was found [14] by an analytic argument that no gravity-localising solutions exist if β 2 < ∞. Of course, this result could be different if higher order corrections (e.g.…”

“…However, no classification was done. In [14], it was demonstrated that the "anti- between the coupling constants is done, i.e. warped solutions exist only for specific triplets (γ W , α W , Λ W ) of the coupling constants.…”

Inflating baby-Skyrme branes in six dimensions

“…In this context abelian strings [5][6][7][8][9] were investigated, showing that they can realize localization of gravity for negative cosmological constant. (For the positive case, solutions which localise gravity are lost [10].) For the magnetic monopoles, similar compactification was achieved for both positive and negative cosmological constant [11].…”

“…Special solutions for γ = 0 have been investigated by many authors in Refs. [8,10,20]. We shortly summarize them here.…”