Corrections to macroscopic supersymmetric black-hole entropy

Abstract

We determine the corrections to the entropy of extremal black holes arising from terms quadratic in the Riemann tensor in $N=2,D=4$ supergravity theories. We follow Wald's proposal to modify the Bekenstein-Hawking area law. The new entropy formula, whose value only depends on the electric/magnetic charges, is expressed in terms of a single holomorphic function and is consistent with electric-magnetic duality. For string effective field theories arising from Calabi-Yau compactifications, our result for the entropy of a certain class of extremal black-hole solutions fully agrees with the counting of microstates performed some time ago by Maldacena, Strominger, Witten and by Vafa.

9 pages, LaTeX; one reference corrected

References in corpus (2)

• Black Hole Entropy in M-Theory
• Higher-Order Black-Hole Solutions in N=2 Supergravity and Calabi-Yau String Backgrounds

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