Deforming, revolving and resolving - New paths in the string theory landscape

TL;DR

This paper explores the structure of vacua in the string theory landscape by constructing infinite series of connected minima through geometric transitions and monodromies in Calabi-Yau moduli spaces.

Contribution

It introduces a novel method to generate infinite series of minima in the string landscape using geometric transitions and monodromies.

Findings

Constructed infinite series of minima in the string landscape.

Demonstrated embedding of moduli spaces via geometric transitions.

Discussed implications for the structure of the string theory landscape.

Abstract

In this paper we investigate the properties of series of vacua in the string theory landscape. In particular, we study minima to the flux potential in type IIB compactifications on the mirror quintic. Using geometric transitions, we embed its one dimensional complex structure moduli space in that of another Calabi-Yau with h^{1,1}=86 and h^{2,1}=2. We then show how to construct infinite series of continuously connected minima to the mirror quintic potential by moving into this larger moduli space, applying its monodromies, and moving back. We provide an example of such series, and discuss their implications for the string theory landscape.