Using the attractor mechanism for extremal solutions in 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.
In this note, we explore the solution space of non-extremal black objects in 4D and 5D N = 2 gauged supergravity in the presence of fluxes. We present first order rewritings of the 4D action for a classes of non-extremal dyonic and electric solutions with electric flux backgrounds. Additionally, we obtain the non-extremal version of the Nernst brane in AdS 5 using a simple deformation. Finally, we develop a new technique to deform extremal black solutions in 4D to non-extremal solutions by an analysis of the symmetries of the equations of motion.
