A bstract We embed general solutions to 4D Einstein-Maxwell theory into N ≥ 2 $$ mathcal{N}ge 2 $$ 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 $$ mathcal{N}=2 $$ multiplets. Logarithmic corrections to the entropy of Kerr-Newman black holes are therefore universal and independent of hole parameters.
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