Stringy corrections to the entropy of electrically charged supersymmetric black holes with ${\mathrm{AdS}}_5\times S^5$ asymptotics

Abstract

We study the leading ${\alpha }^{\prime }$ corrections to the entropy of certain black holes with AdS${}_5\times S^5$ asymptotics. We find that, in the supersymmetric limit, the entropy does not receive ${\alpha }^{\prime }$ corrections. This result strengthens recent calculations that match the index of $\mathcal{N}=4$ Super-Yang-Mills with the corresponding partition function in the supersymmetric limit. In the small temperature regime, we find that the entropy corrections are concordant with the weak gravity conjecture.

6 pages, typo corrected in equation (16)