Infinitely large new dimensions
We construct intersecting brane configurations in anit-de Sitter (AdS) space which localize gravity to the intersection region, generalizing the trapping of gravity to any number n of infinite extra dimensions. Since the 4D Planck scale M(Pl) is determined by the fundamental Planck scale M(*) and the AdS radius L via the familiar relation M(2)(Pl) approximately M(2+n)(*)L(n), we get two kinds of theories with TeV scale quantum gravity and submillimeter deviations from Newton's law. With M(*) approximately TeV and L approximately submillimeter, we recover the phenomenology of theories with large extra dimensions. Alternatively, if M(*) approximately L-1 approximately M(Pl), and our 3-brane is at a distance of approximately 100M(-1)(Pl) from the intersection, we obtain a theory with an exponential determination of the weak/Planck hierarchy.
Arkani-Hamed
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Department of Physics, University of California, Berkeley, California 94530 and Theory Group, Lawrence Berkeley National Laboratory, Berkeley, California 94530, USA.
Dimopoulos
S
Dvali
G
Kaloper
N