Abstract

AbstractWe study Kähler moduli stabilization in type IIB superstring theory. We propose a new moduli stabilization mechanism by the supersymmetry breaking chiral superfield which is coupled to Kähler moduli in the Kähler potential. We also study its uplifting of the Large Volume Scenario (LVS). In both cases, the form of the superpotential is crucial for moduli stabilization. We confirm that our uplifting mechanism does not destabilize the vacuum of the LVS drastically.

Highlights

  • Superstring theory is a promising candidate for a quantum theory of gravity

  • We study the modulus potential from the Kahler potential with α′ corrections and the superpotenital with a chiral superfield X which spontaneously breaks SUSY

  • We considered the Large Volume Scenario (LVS) model uplifted by the chiral superfield

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Summary

Introduction

Superstring theory is a promising candidate for a quantum theory of gravity. it is a good candidate for a unified theory of all the gauge interactions and matter particles such as quarks and leptons as well as the Higgs particle. The Kachru-Kallosh-Linde-Trivedi (KKLT) scenario [3] and the Large Volume Scenario (LVS) [4, 5] are two well-known mechanisms in type IIB superstring theory In such scenarios of type IIB superstring theory, moduli stabilization is carried out in three steps. Background 3-form fluxes are turned on, and they induce superpotential for the dilaton and complex structure moduli stabilization [6] Some corrections, such as α′ corrections, string 1-loop corrections, and non-perturbative corrections, are introduced. Both the KKLT scenario and the LVS make use of non-perturbative effects, such as gaugino condensations and D-brane instanton effects to stabilize the Kahler moduli.

Kahler Moduli Stabilization
Potential by Chiral Superfield
Consistency
Λ2 ξ 4
Cosmological Constant and Other Comments
Large Volume Scenario
F-term Uplifting
Numerical Analysis
F-terms
Conclusion and Discussion
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