Fixing Moduli in Exact Type IIA Flux Vacua

TL;DR

This paper provides a detailed ten-dimensional analysis of Type IIA flux vacua with O6-planes, presenting exact solutions and demonstrating complete moduli stabilization consistent with previous four-dimensional effective theory results.

Contribution

It offers the first explicit ten-dimensional solutions for these vacua, including the case of localized O6-planes, and confirms moduli stabilization through a detailed geometric analysis.

Findings

Exact solutions for smooth O6-charge distributions

Half-flat, non-Calabi-Yau metrics for localized O6-planes

Complete moduli stabilization matching four-dimensional predictions

Abstract

Type IIA flux compactifications with O6-planes have been argued from a four dimensional effective theory point of view to admit stable, moduli free solutions. We discuss in detail the ten dimensional description of such vacua and present exact solutions in the case when the O6-charge is smoothly distributed. In the localised case, the solution is a half-flat, non-Calabi-Yau metric. Finally, using the ten dimensional description we show how all moduli are stabilised and reproduce precisely the results of de Wolfe et al.