Attractive holographic $c$-functions
  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. 
Arpan Bhattacharyya, S. Shajidul Haque, Vishnu Jejjala, Suresh   Nampuri, and Alvaro V\'eliz-Osorio
hep-th