Orateur
Description
Anomalies are known to govern the asymptotic growth of states in CFTs through Cardy-like formulae and to play a central role in the thermodynamics of BPS black holes. In this talk, we discuss a new manifestation of this connection. We consider five-dimensional supergravity, gauged or ungauged, and propose a method based on equivariant integration of the anomaly polynomial to evaluate the on-shell action of supersymmetric black saddle solutions with toric $U(1)^3$ symmetry and general topology, including higher-derivative corrections. We show that the resulting action determines the Wald entropy of supersymmetric black holes, black rings, and black lenses, both asymptotically flat and asymptotically $\text{AdS}_5$. This yields a simple derivation of known expressions and leads to new predictions.