  We consider a deformation of five-dimensional warped gravity with bulk and
boundary mass terms to quadratic order in the action. We show that massless
zero modes occur for special choices of the masses. The tensor zero mode is a
smooth deformation of the Randall-Sundrum graviton wavefunction and can be
localized anywhere in the bulk. There is also a vector zero mode with similar
localization properties, which is decoupled from conserved sources at tree
level. Interestingly, there are no scalar modes, and the model is ghost-free at
the linearized level. When the tensor zero mode is localized near the IR brane,
the dual interpretation is a composite graviton describing an emergent
(induced) theory of gravity at the IR scale. In this case Newton's law of
gravity changes to a new power law below the millimeter scale, with an exponent
that can even be irrational.
