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Towards a Realistic Type IIA T^6/Z_4 Orientifold Model with Background Fluxes, Part 1: Moduli Stabilization

Matthias Ihl, Timm Wrase

TL;DR

This work analyzes moduli stabilization in a massive Type IIA compactification on a T^6/Z4 orientifold with background fluxes, deriving a 4D N=1 supergravity effective theory and demonstrating supersymmetric AdS vacua with all untwisted moduli stabilized. By solving the F-flatness conditions, the authors show that complex-structure moduli can be fixed by fluxes and that the Kähler sector can be stabilized with explicit relations among the fluxes, yielding large-volume, weakly coupled vacua. The study further extends to twisted sector moduli, establishing a hierarchical flux regime that preserves untwisted stabilization while stabilizing the twisted modes, leading to a consistent AdS vacuum overall. The results set the stage for possible uplift to metastable dS vacua via D-term mechanisms and for constructing MSSM-like models with intersecting D6-branes in this setup.

Abstract

We apply the methods of DeWolfe et al. [hep-th/0505160] to a T^6/Z_4 orientifold model. This is the first step in an attempt to build a phenomenologically interesting meta-stable de Sitter model with small cosmological constant and standard model gauge groups.

Towards a Realistic Type IIA T^6/Z_4 Orientifold Model with Background Fluxes, Part 1: Moduli Stabilization

TL;DR

This work analyzes moduli stabilization in a massive Type IIA compactification on a T^6/Z4 orientifold with background fluxes, deriving a 4D N=1 supergravity effective theory and demonstrating supersymmetric AdS vacua with all untwisted moduli stabilized. By solving the F-flatness conditions, the authors show that complex-structure moduli can be fixed by fluxes and that the Kähler sector can be stabilized with explicit relations among the fluxes, yielding large-volume, weakly coupled vacua. The study further extends to twisted sector moduli, establishing a hierarchical flux regime that preserves untwisted stabilization while stabilizing the twisted modes, leading to a consistent AdS vacuum overall. The results set the stage for possible uplift to metastable dS vacua via D-term mechanisms and for constructing MSSM-like models with intersecting D6-branes in this setup.

Abstract

We apply the methods of DeWolfe et al. [hep-th/0505160] to a T^6/Z_4 orientifold model. This is the first step in an attempt to build a phenomenologically interesting meta-stable de Sitter model with small cosmological constant and standard model gauge groups.

Paper Structure

This paper contains 11 sections, 110 equations, 2 figures, 3 tables.

Table of Contents

  1. Introduction
  2. Basic setup
  3. The $T^6/{\mathbb Z}_4$ orientifold
  4. Moduli and fluxes
  5. Moduli stabilization
  6. Dimensional (Kaluza-Klein) reduction from 10 to 4 dimensions
  7. Effective ${\mathcal{N}}=1$ SUGRA in $D=4$
  8. Supersymmetric AdS vacua
  9. Application to the $T^6/{\mathbb Z}_4$ model
  10. Moduli stabilization in the twisted sectors
  11. Conclusions and Outlook

Figures (2)

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