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

Abstract

Based on special geometry, we consider corrections to N=2 extremal black-hole solutions and their entropies originating from higher-order derivative terms in N=2 supergravity. These corrections are described by a holomorphic function, and the higher-order black-hole solutions can be expressed in terms of symplectic Sp(2$n$+2) vectors. We apply the formalism to N=2 type-IIA Calabi-Yau string compactifications and compare our results to recent related results in the literature.

12 pages, LaTeX; reference added; minor changes, note added, version to appear in Phys. Lett. B

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