Stability of flux vacua in the presence of charged black holes

TL;DR

This paper investigates how charged black holes affect the stability of flux vacua in type IIB string theory compactifications, finding that black holes generally do not significantly alter the moduli potential minima, but some exceptions could impact physical hierarchies.

Contribution

It provides an analysis of flux vacua stability in the presence of charged black holes, highlighting conditions where the minima remain stable or could be altered.

Findings

Black holes typically do not change the moduli potential minima significantly.

Potential loopholes could lead to changes in physical hierarchies.

The study focuses on local deformed conifold compactifications.

Abstract

In this letter we consider a charged black hole in a flux compactification of type IIB string theory. Both the black hole and the fluxes will induce potentials for the complex structure moduli. We choose the compact dimensions to be described locally by a deformed conifold, creating a large hierarchy. We demonstrate that the presence of a black hole typically will not change the minimum of the moduli potential in a substantial way. However, we also point out a couple of possible loop-holes, which in some cases could lead to interesting physical consequences such as changes in the hierarchy.