Non-Renormalization For Non-Supersymmetric Black Holes

Understand

We analyze large logarithmic corrections to 4D black hole entropy and relate them to the Weyl anomaly.

• We use duality to show that counter-terms in Einstein-Maxwell theory can be expressed in terms of geometry alone, with no dependence on matter terms.
• We analyze the two known $\mathcal{N} = 2$ supersymmetric invariants for various non-supersymmetric black holes and find that both reduce to the Euler invariant.
• The $c$-anomaly therefore vanishes in these theories and the coefficient of the large logarithms becomes topological.