Localizing Gravity on the Triple Intersection of 7-branes in 10D

Details Localizing Gravity on the Triple Intersection of 7-branes in 10D Localizing Gravity on the Triple Intersection of 7-branes in 10D

2005-12-19

arxiv.org/abs/hep-th/0512247v1

JHEP 0601:113,2006

Physics

High Energy Physics

High Energy Physics - Theory

18 pages, 1 figure

Scientific paper

10.1088/1126-6708/2006/01/113

It was recently proposed that our universe could naturally come to be dominated by 3-branes and 7-branes if the universe is ten-dimensional. In this paper, we explicitly demonstrate that gravity can be localized on the intersection of three 7-branes in AdS10 to give four-dimensional gravity. We derive the exact relations among the tensions of the branes, and show that they apply independently of the precise distribution of energy within the necessarily thickened branes. We demonstrate this with several technical sections showing a simple formula for the curvature tensor of a diagonal metric with isometries as well as for the curvature at a gravitational singularity. We also demonstrate a subtlety in applying Stoke's Theorem to this set-up.

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