### Speaker

Alejandro Ruiperez
(Roma Tor Vergata)

### Description

We consider a four-derivative extension of minimal gauged supergravity in five dimensions and use it to evaluate the on-shell action of AdS$_5$ black holes, showing that it fully matches the result from the superconformal index ``on the second sheet” after imposing supersymmetry. We then compute the corrected black hole thermodynamics and we find a formula of the BPS entropy as a function of the charges. The latter is shown to match both the Legendre transform of the superconformal index and the Wald entropy. Based on 2208.01007 [hep-th] and on work in progress.