Abstract

We study moduli stabilization for type IIB orientifolds compactified on Calabi-Yau threefolds in the region close to conifold singularities in the complex structure moduli space. The form of the periods implies new phenomena like exponential mass hierarchies even in the regime of negligible warping. Integrating out the heavy conic complex structure modulus leads to an effective flux induced potential for the axio-dilaton and the remaining complex structure moduli containing exponentially suppressed terms that imitate non-perturbative effects. It is shown that this scenario can be naturally combined with the large volume scenario so that all moduli are dynamically stabilized in the dilute flux regime. As an application of this moduli stabilization scheme, a string inspired model of aligned inflation is designed that features a parametrically controlled hierarchy of mass scales.

Highlights

  • Locus and an additional flux on its symplectic dual three-cycle

  • We study moduli stabilization for type IIB orientifolds compactified on CalabiYau threefolds in the region close to conifold singularities in the complex structure moduli space

  • In our analysis we restrict ourselves to the dynamical moduli: axio-dilaton, the complex structure governing the size of the three-cycle vanishing at the conifold locus and the Kahler moduli

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Summary

Type IIB fluxes on CY threefolds

As in many previous works, we consider the issue of moduli stabilization for type IIB string theory compactified on orientifolds of Calabi-Yau threefolds M with O7 and O3-planes. Prior to turning on any fluxes, one obtains a moduli space parametrized by the vacuum expectation values of a set of scalar fields invariant under the orientifold projection

Massless fields
Large volume scenario
Moduli stabilization close to the conifold
Periods of the quintic
Flux induced exponential mass hierarchies
Conic LVS scenario
Towards axion alignment
Freezing axio-dilaton and complex structures
Axion alignment
Conclusions
Full Text
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