  Using the attractor mechanism for extremal solutions in ${\cal N}=2$ gauged
supergravity, we construct a $c$-function that interpolates between the central
charges of theories at ultraviolet and infrared conformal fixed points
corresponding to anti-de Sitter geometries. The $c$-function we obtain is
couched purely in terms of bulk quantities and connects two different
dimensional CFTs at the stable conformal fixed points under the RG flow.
