Paper detail

Agujeros negros cuánticos en la teoría de cuerdas tipo-IIA

In the context of Type-IIA String Theory compactified to four dimensions on a Calabi-Yau manifold (CY), we study the effect of considering perturbative and non-perturbative corrections (in alpha prime) to the prepotential of the resulting effective Supergravity theory on the space of black hole solutions. Considering the large volume limit of the CY, in which the non-perturbative corrections are exponentially suppressed, we define a new class of solutions which turn out to be genuinely quantum, in the sense that not only their classical limit is not well defined, but also the truncation under consideration becomes inconsistent in such a limit. Next, we construct the first non-extremal black hole solution with non-constant scalars in the presence of perturbative corrections. Right after, restricting ourselves to the case of self-mirror CY, we study the case in which the sub-dominant contribution has a non-perturbative origin, obtaining the first family of explicit supersymmetric solutions of this kind. Surprisingly enough, these solutions turn out to involve multivalued functions, which opens the door for a possible violation of the No-Hair conjecture. We discuss how this cannot be accomplished in our String Theory set up, but how the possibility remains open in the context of N=2, d=4 ungauged Supergravity. Fully in Spanish.