Non-perturbative black holes in Type-IIA String Theory vs. the No-Hair conjecture

TL;DR

This paper presents a novel non-perturbative black hole solution in Type-IIA String Theory with potential implications for the No-Hair conjecture, highlighting the role of quantum corrections and multivalued functions.

Contribution

It provides the first explicit black hole solution in Type-IIA String Theory with non-perturbative effects and discusses implications for the No-Hair conjecture.

Findings

Solution involves multivalued functions, suggesting possible violation of No-Hair conjecture.

String Theory constraints may forbid such violations.

Open questions remain in ungauged Supergravity context.

Abstract

We obtain the first black hole solution to Type-IIA String Theory compactified on an arbitrary self-mirror Calabi Yau manifold in the presence of non-perturbative quantum corrections. Remarkably enough, the solution involves multivalued functions, which could lead to a violation of the No-Hair conjecture. We discuss how String Theory forbids such secenario. However the possibility still remains open in the context of four-dimensional ungauged Supergravity.