Open AccessLocalizing gravity on the triple intersection of 7-branes in 10D
Author(s) -
A. Liam Fitzpatrick,
Lisa Randall
Publication year - 2006
Publication title -
journal of high energy physics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.998
H-Index - 261
eISSN - 1126-6708
pISSN - 1029-8479
DOI - 10.1088/1126-6708/2006/01/113
Subject(s) - brane cosmology , intersection (aeronautics) , curvature , physics , universe , singularity , simple (philosophy) , diagonal , metric (unit) , theoretical physics , gravitation , mathematical physics , pure mathematics , classical mechanics , mathematics , geometry , quantum mechanics , operations management , engineering , economics , aerospace engineering , philosophy , epistemology
It was recently proposed that our universe could naturally come to bedominated by 3-branes and 7-branes if the universe is ten-dimensional. In thispaper, we explicitly demonstrate that gravity can be localized on theintersection of three 7-branes in AdS10 to give four-dimensional gravity. Wederive the exact relations among the tensions of the branes, and show that theyapply independently of the precise distribution of energy within thenecessarily thickened branes. We demonstrate this with several technicalsections showing a simple formula for the curvature tensor of a diagonal metricwith isometries as well as for the curvature at a gravitational singularity. Wealso demonstrate a subtlety in applying Stoke's Theorem to this set-up.Comment: 18 pages, 1 figur
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