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

TL;DR

This paper investigates higher-order corrections to extremal black-hole solutions in N=2 supergravity, utilizing special geometry and symplectic structures, with applications to Calabi-Yau string compactifications.

Contribution

It develops a formalism for incorporating higher-derivative corrections into N=2 black-hole solutions using special geometry and symplectic vectors, applied to Calabi-Yau backgrounds.

Findings

Derived corrected black-hole entropies including higher-order terms.

Expressed solutions in terms of symplectic vectors for N=2 supergravity.

Compared results with recent literature on string compactifications.

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.