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Naively applying holographic duality to gapped gravity on Anti de Sitter(AdS) space seems to suggest that the stress tensor of the field theory dualcannot be conserved. On the other hand, by symmetry arguments, it seems thatthe dual should not violate Poincare symmetry. To clarify this apparentcontradiction, we study a holographic dual of massive gravity where both thephysical background metric and the fiducial metric are AdS. Using the anomalousscaling of the energy momentum tensor as our guide, we conclude that the dualtheory is nonlocal. We find that the dual is similar to conformal invariant"unparticle" theories. We show that such theories can be viewed as dimensionalreductions of flat-space field theories with inhomogeneous scaling properties.

Unparticles as the Holographic Dual of Gapped AdS Gravity