Absence of a VVDZ Discontinuity in AdS_AdS

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  • 28 June 2001
Abstract
We demonstrate consistency of the theory with an AdS4 brane embedded in AdS5 by showing that despite the presence of a nonvanishing mass parameter for the lightest KK mode of the graviton, one can choose a gauge in which it has only two propagating polarization states. It is interesting that this gauge transformation acts on all KK modes, and not just the lightest mode, so it is different from conventional four-dimensional general covariance, which only transforms a single spin-2 mode. The absence of extra polarization states demonstrates that five-dimensional general covariance protects the lowest lying mode from suffering a VVDZ discontinuity at the classical and quantum level.

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