On massless 4D Gravitons from 5D Asymptotically AdS Space-times

Physics – High Energy Physics – High Energy Physics - Theory

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40 pages, 1 figure. Revised version, to appear in Nuclear Physics B. Typos corrected, one reference added

Scientific paper

10.1016/j.nuclphysb.2007.02.024

We investigate the conditions for obtaining four-dimensional massless spin-2 states in the spectrum of fluctuations around an asymptotically $AdS_5$ solution of Einstein-Dilaton gravity. We find it is only possible to have normalizable massless spin-2 modes if the space-time terminates at some IR point in the extra dimension, far from the UV AdS boundary, and if suitable boundary conditions are imposed at the ``end of space.'' In some of these cases the 4D spectrum consists only of a massless spin-2 graviton, with no additional massless or light scalar or vector modes. These spin-2 modes have a profile wave-function peaked in the interior of the 5D bulk space-time. Under the holographic duality, they may be sometimes interpreted as arising purely from the IR dynamics of a strongly coupled QFT living on the AdS boundary.

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