Born-Infeld strings in brane worlds
arXiv:hep-th/0311121 · doi:10.1016/j.nuclphysb.2004.05.021
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.
11 REVTEX4 pages, 5 EPS-figures; v1:references and new figure added; Conclusions extended; Accepted for publication in Nucl. Phys. B
References in corpus (14)
- A Large Mass Hierarchy from a Small Extra Dimension
- An Alternative to Compactification
- The Hierarchy Problem and New Dimensions at a Millimeter
- New Dimensions at a Millimeter to a Fermi and Superstrings at a TeV
- Modeling the fifth dimension with scalars and gravity
- TASI Lectures on D-Branes
- Localizing Gravity on a String-Like Defect in Six Dimensions
- Domain Walls in Strongly Coupled Theories
- Living Inside a Hedgehog: Higher-dimensional Solutions that Localize Gravity
- Warped compactification on Abelian vortex in six dimensions
- Complete Classification of the String-like Solutions of the Gravitating Abelian Higgs Model
- Localizing gravity on a 't Hooft-Polyakov monopole in seven dimensions
- Classical solutions of the Gravitating Abelian Higgs Model
- Classical solutions in the Einstein-Born-Infeld-Abelian-Higgs model