Entropy Maximization in the Presence of Higher-Curvature Interactions

Abstract

Within the context of the entropic principle, we consider the entropy of supersymmetric black holes in N=2 supergravity theories in four dimensions with higher-curvature interactions, and we discuss its maximization at points in moduli space at which an excess of hypermultiplets becomes massless. We find that the gravitational coupling function F^(1) enhances the maximization at these points in moduli space. In principle, this enhancement may be modified by the contribution from higher F^(g)-couplings. We show that this is indeed the case for the resolved conifold by resorting to the non-perturbative expression for the topological free energy.

arXiv comment22 pages, 8 figures, AMS-LaTeX

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• Extremal non-BPS black holes and entropy extremization
• The alpha-prime stretched horizon in the Heterotic string
• A Wave-function for Stringy Universes
• A Classical Bound on Quantum Entropy
• Intersecting Attractors