Entropy maximization in the presence of higher-curvature interactions

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.