Entropy Maximization in the Presence of Higher-Curvature Interactions
Gabriel Lopes Cardoso, Dieter Lust, Jan Perz
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.
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