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.

arXiv comment6 pages, typo corrected in equation (16)

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