Corrections to macroscopic supersymmetric black-hole entropy

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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. © 1999 Elsevier Science B.V. All rights reserved.

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Cardoso, G. L., De Wit, B., & Mohaupt, T. (1999). Corrections to macroscopic supersymmetric black-hole entropy. Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics, 451(3–4), 309–316. https://doi.org/10.1016/S0370-2693(99)00227-0

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