Moduli stabilization in (string) model building: gauge fluxes and loops

TL;DR

This paper explores how gauge fluxes, R-symmetry twists, and non-perturbative effects in 6D supergravity models can stabilize all Kaehler moduli, including flux-induced one-loop corrections that do not destabilize the vacuum.

Contribution

It demonstrates the compatibility of D-terms with gaugino condensation and shows how combined effects stabilize all Kaehler moduli in a KKLT-like framework.

Findings

D-terms from gauge fluxes are compatible with gaugino condensation

All Kaehler moduli can be stabilized with combined effects

Flux-induced one-loop corrections do not destabilize the minimum

Abstract

We discuss the moduli stabilization arising in the presence of gauge fluxes, R-symmetry twists and non-perturbative effects in the context of 6-dimensional supergravity models. We show how the presence of D-terms, due to the gauge fluxes, is compatible with gaugino condensation, and that the two effects, combined with the R-symmetry twist, do stabilize all the Kaehler moduli present in the model, in the spirit of KKLT. We also calculate the flux-induced one-loop correction to the scalar potential coming from charged hypermultiplets, and find that it does not destabilize the minimum.