Moduli Stabilization in Non-Geometric Backgrounds

TL;DR

This paper demonstrates how flux compactifications in non-geometric type IIB orientifolds, described via Landau-Ginzburg models, can stabilize all moduli explicitly, leading to novel 4D Minkowski and AdS vacua.

Contribution

It introduces a method to stabilize all moduli in non-geometric backgrounds using fluxes, resulting in the first string vacuum with all moduli fixed in a 4D Minkowski space.

Findings

All moduli can be explicitly stabilized by fluxes.

Constructed vacua include Minkowski and AdS solutions.

First example of a string vacuum with all moduli frozen in Minkowski space.

Abstract

Type II orientifolds based on Landau-Ginzburg models are used to describe moduli stabilization for flux compactifications of type II theories from the world-sheet CFT point of view. We show that for certain types of type IIB orientifolds which have no Kahler moduli and are therefore intrinsically non-geometric, all moduli can be explicitly stabilized in terms of fluxes. The resulting four-dimensional theories can describe Minkowski as well as Anti-de-Sitter vacua. This construction provides the first string vacuum with all moduli frozen and leading to a 4D Minkowski background.