Universal Corrections to Black Hole Entropy in $\mathcal{N}\ge 2$ Supergravity

Abstract

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

36 pages, 1 table

References in corpus (4)

• Holographic c-theorems in arbitrary dimensions
• Seeing a c-theorem with holography
• Logarithmic Corrections to $N\ge 2$ Black Hole Entropy
• Quantum Corrections to Supergravity on AdS${}_2\times S^2$