Universal corrections to non-extremal black hole entropy in N≥2 N≥ 2 supergravity

We embed general solutions to 4D Einstein-Maxwell theory into N≥ 2 super-gravity and study quadratic fluctuations of the supergravity fields around the background. We compute one-loop quantum corrections for all fields and show that the c-anomaly vanishes for complete N=2 multiplets. Logarithmic corrections to the entropy of Kerr-Newman black holes are therefore universal and independent of hole parameters.