Quantum black holes in Type-IIA String Theory

TL;DR

This paper investigates quantum-corrected black hole solutions in Type-IIA string theory compactified on Calabi-Yau manifolds, identifying conditions for their existence and constructing explicit examples of such quantum black holes.

Contribution

It introduces a class of purely quantum black holes dependent on quantum corrections and constructs new Calabi-Yau manifolds satisfying the necessary topological constraints.

Findings

Existence of quantum black holes only with quantum corrections.

Topological constraint h^{1,1}>h^{2,1} for regular solutions.

Explicit construction of Calabi-Yau manifolds with h^{1,1}=3.

Abstract

We study black hole solutions of Type-IIA Calabi-Yau compactifications in the presence of perturbative quantum corrections. We define a class of black holes that only exist in the presence of quantum corrections and that, consequently, can be considered as purely quantum black holes. The regularity conditions of the solutions impose the topological constraint h^{1,1}>h^{2,1} on the Calabi-Yau manifold, defining a class of admissible compactifications, which we prove to be non-empty for h^{1,1}=3 by explicitly constructing the corresponding Calabi-Yau manifolds, new in the literature.