Logo
ScienceStack
Table of Contents
Fetching ...
Sign In

Systematics of Moduli Stabilisation in Calabi-Yau Flux Compactifications

Vijay Balasubramanian, Per Berglund, Joseph P. Conlon, Fernando Quevedo

TL;DR

The paper demonstrates that in type IIB Calabi-Yau flux compactifications, a large-volume AdS minimum can arise generically from the interplay between perturbative α'^3 corrections and non-perturbative superpotential terms. The resulting non-supersymmetric minimum fixes all Kahler moduli at exponentially large volumes, while dilaton and complex structure are stabilized by fluxes, and the gravitino mass becomes largely independent of the flux choice, enabling a hierarchically smaller string scale without tuning W0. Uplift to de Sitter vacua remains feasible via standard mechanisms, and the authors illustrate the mechanism with an explicit orientifold model of P^4_{[1,1,1,6,9]}. These findings offer a robust pathway to moduli stabilization and hierarchy generation in the string landscape with potential phenomenological implications.

Abstract

We study the large volume limit of the scalar potential in Calabi-Yau flux compactifications of type IIB string theory. Under general circumstances there exists a limit in which the potential approaches zero from below, with an associated non-supersymmetric AdS minimum at exponentially large volume. Both this and its de Sitter uplift are tachyon-free, thereby fixing all Kahler and complex structure moduli, which has been difficult to achieve in the KKLT scenario. Also, for the class of vacua described in this paper, the gravitino mass is independent of the flux discretuum, whereas the ratio of the string scale to the 4d Planck scale is hierarchically small but flux dependent. The inclusion of alpha' corrections plays a crucial role in the structure of the potential. We illustrate these ideas through explicit computations for a particular Calabi-Yau manifold.

Systematics of Moduli Stabilisation in Calabi-Yau Flux Compactifications

TL;DR

The paper demonstrates that in type IIB Calabi-Yau flux compactifications, a large-volume AdS minimum can arise generically from the interplay between perturbative α'^3 corrections and non-perturbative superpotential terms. The resulting non-supersymmetric minimum fixes all Kahler moduli at exponentially large volumes, while dilaton and complex structure are stabilized by fluxes, and the gravitino mass becomes largely independent of the flux choice, enabling a hierarchically smaller string scale without tuning W0. Uplift to de Sitter vacua remains feasible via standard mechanisms, and the authors illustrate the mechanism with an explicit orientifold model of P^4_{[1,1,1,6,9]}. These findings offer a robust pathway to moduli stabilization and hierarchy generation in the string landscape with potential phenomenological implications.

Abstract

We study the large volume limit of the scalar potential in Calabi-Yau flux compactifications of type IIB string theory. Under general circumstances there exists a limit in which the potential approaches zero from below, with an associated non-supersymmetric AdS minimum at exponentially large volume. Both this and its de Sitter uplift are tachyon-free, thereby fixing all Kahler and complex structure moduli, which has been difficult to achieve in the KKLT scenario. Also, for the class of vacua described in this paper, the gravitino mass is independent of the flux discretuum, whereas the ratio of the string scale to the 4d Planck scale is hierarchically small but flux dependent. The inclusion of alpha' corrections plays a crucial role in the structure of the potential. We illustrate these ideas through explicit computations for a particular Calabi-Yau manifold.

Paper Structure

This paper contains 6 sections, 60 equations, 1 figure.

Table of Contents

  1. Introduction
  2. Review of type IIB flux compactifications
  3. Large Volume Limit
  4. The General Case
  5. Explicit calculations for the orientifold of $P^4_{[1,1,1,6,9]}$
  6. Discussion

Figures (1)

  • Figure 1: $\ln (V)$ for $P^4_{[1,1,1,6,9]}$ in the large volume limit, as a function of the divisors $\tau_4$ and $\tau_5$. The void channel corresponds to the region where $V$ becomes negative and $\ln (V)$ undefined. As $V \to 0$ at infinite volume, this immediately shows that a large-volume minimum must exist. Here the values $W_0 = 20, A_4 = 1$ and $a_4 = 2\pi$ have been used.