Compactification with Flux on K3 and Tori

TL;DR

This paper explores flux compactifications of Type IIB string theory on K3 and tori, identifying supersymmetric vacua with stabilized moduli and discussing dualities to non-Calabi-Yau spaces.

Contribution

It provides the most general supersymmetric flux vacua on K3 imes T^2/Z_2, explicitly deriving flux restrictions and moduli stabilization conditions.

Findings

All complex structure moduli are stabilized.

Explicit flux restrictions for supersymmetric vacua are derived.

Dual descriptions involve non-Calabi-Yau spaces and a constructed superpotential.

Abstract

We study compactifications of Type IIB string theory on a K3 \times T^2/Z_2 orientifold in the presence of RR and NS flux. We find the most general supersymmetry preserving, Poincare invariant, vacua in this model. All the complex structure moduli and some of the Kahler moduli are stabilised in these vacua. We obtain in an explicit fashion the restrictions imposed by supersymmetry on the flux, and the values of the fixed moduli. Some T-duals and Heterotic duals are also discussed, these are non-Calabi-Yau spaces. A superpotential is constructed describing these duals.