Type IIA/M-theory Moduli fixing in a Class of Orientifold Models

TL;DR

This paper investigates type IIA flux vacua and their M-theory duals in Calabi-Yau orientifolds, achieving complete moduli stabilization and analyzing the distribution of vacua, including supersymmetric and non-supersymmetric solutions.

Contribution

It provides a detailed analysis of moduli fixing in a specific class of orientifold models, including the derivation of the Kaehler potential and superpotential with non-Abelian gauge contributions, and compares M-theory distributions.

Findings

Complete moduli stabilization achieved.

Identified both supersymmetric and non-supersymmetric minima.

Found a finite, large set of flux vacua within parameter constraints.

Abstract

We present the study of type II A flux vacua and their M-theory duals for compactification on a class of Calabi-Yau orientifolds. The Kaehler potential is derived from toroidal compactifications and the superpotential contains a contribution from non-Abelian gauge degrees of freedoms. We obtain complete stabilisation of the moduli. We found one supersymmetric minimum and several non supersymmetric ones. Consistency of the analysis constrains the parameters of the models in a finite region containing a finite, although very large, number of flux vacua. From the M-theory side, we found some differences in the distributions of the physical quantities with respect to the M-theory ensemble studied by Acharya et al. In particular, it is easier to find small supersymmetry breaking scale.