Type IIB on $S^{3}\times S^{3}$ through $Q$ & $P$ fluxes

TL;DR

This paper explores flux compactifications of type IIB supergravity on $S^{3} imes S^{3}$, revealing how geometric setups can effectively describe non-geometric fluxes and break no-scale symmetry without non-perturbative effects.

Contribution

It introduces a group-theoretical method to derive flux-induced superpotentials for non-toroidal compactifications, connecting geometric and non-geometric flux descriptions.

Findings

Toroidal case yields GKP-like no-scale superpotentials.

Compactifications on $S^{3} imes S^{3}$ describe non-geometric fluxes geometrically.

Breaking of no-scale symmetry occurs without non-perturbative effects.

Abstract

We study a class of orientifold compactifications of type IIB supergravity with fluxes down to 4D in connection with truncations of half-maximal gauged supergravities yielding isotropic STU-models with minimal supersymmetry. In this context, we make use of a group-theoretical approach in order to derive flux-induced superpotentials for different IIB backgrounds. We first review the toroidal case yielding GKP-like superpotentials characterised by their \emph{no-scale} behaviour. We then turn to $S^{3} \times S^{3}$ and $S^{3} \times \mathbb{T}^{3}$, which, surprisingly, give rise to effective descriptions of non-geometric $Q$- and $P$-fluxes through globally geometric non-toroidal compactifications. As a consequence, such constructions break the no-scale symmetry without invoking any non-perturbative effects.