
TL;DR
This paper constructs intersecting brane solutions in higher-dimensional anti-de Sitter spaces, demonstrating how they can localize gravity and potentially explain the hierarchy problem with observable sub-millimeter effects.
Contribution
It introduces explicit multi-brane configurations in AdS spaces that localize gravity and explores their implications for the hierarchy problem and cosmology.
Findings
Explicit solutions for intersecting branes in AdS_6 and higher dimensions.
Localization of gravity on the brane intersection with zero-mode graviton analysis.
Potential explanation for the Planck-electroweak hierarchy with TeV-scale fundamental gravity.
Abstract
We paste together patches of to find solutions which describe two 4-branes intersecting on a 3-brane with non-zero tension. We construct explicitly brane arrays with Minkowski, de Sitter and Anti-de Sitter geometries intrinsic to the 3-brane, and describe how to generalize these solutions to the case of , , where -branes intersect on a 3-brane. The Minkowski and de Sitter solutions localize gravity to the intersection, leading to 4D Newtonian gravity at large distances. We show this explicitly in the case of Minkowski origami by finding the zero-mode graviton, and computing the couplings of the bulk gravitons to the matter on the intersection. In de Sitter case, this follows from the finiteness of the bulk volume. The effective 4D Planck scale depends on the square of the fundamental 6D Planck scale, the radius and the angles between the 4-branes…
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