Three-dimensional flux vacua from IIB on co-calibrated G2 orientifolds

TL;DR

This paper derives the superpotential for type IIB string theory on specific G2-structured orientifolds, demonstrating moduli stabilization and exploring the potential for de Sitter vacua and scale separation in three dimensions.

Contribution

It provides the first derivation of the 3D superpotential for IIB on co-calibrated G2 orientifolds, analyzing vacua stability and the challenges in realizing de Sitter solutions.

Findings

Full moduli stabilization in supersymmetric AdS3 vacua.

Indications of classical de Sitter solutions with broken supersymmetry.

Obstacles to achieving scale separation due to flux quantization.

Abstract

We derive the 3D N=1 superpotential for the closed string sector of type IIB supergravity on toroidal O5 orientifolds with co-calibrated G2 structure and RR background flux. We find that such compactifications can provide full closed string moduli stabilization on supersymmetric AdS$_3$ vacua, and once we include brane-supersymmetry-breaking we also find indication for the existence of classical 3D de Sitter solutions. The latter however are rather difficult to reconcile with the shape moduli stabilization and flux quantization. We also discuss the possibility of achieving scale separation in AdS$_3$ and dS$_3$ vacua, but such effects seems to be hindered by the geometric flux quantization.