Entropy Maximization in the Presence of Higher-Curvature Interactions

TL;DR

This paper investigates how higher-curvature interactions influence the entropy maximization of supersymmetric black holes in N=2 supergravity, revealing that certain couplings enhance entropy at specific moduli space points.

Contribution

It demonstrates the role of the gravitational coupling function F^(1) in entropy maximization and explores the impact of higher F^(g)-couplings using non-perturbative topological free energy.

Findings

F^(1) enhances entropy maximization at hypermultiplet massless points

Higher F^(g)-couplings can modify entropy maximization

Non-perturbative analysis applied to the resolved conifold

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.