Abstract
We review moduli stabilization in type IIB string theory compactification with fluxes. We focus on KKLT and Large Volume Scenario (LVS). We show that the predicted soft SUSY breaking terms in KKLT model are not phenomenological viable. In LVS, the following result for scalar mass, gaugino mass, and trilinear term is obtained:m0=m1/2=-A0=m3/2, which may account for Higgs mass limit ifm3/2~O(1.5) TeV. However, in this case, the relic abundance of the lightest neutralino cannot be consistent with the measured limits. We also study the cosmological consequences of moduli stabilization in both models. In particular, the associated inflation models such as racetrack inflation and Kähler inflation are analyzed. Finally, the problem of moduli destabilization and the effect of string moduli backreaction on the inflation models are discussed.
Highlights
Ever since the invention of the Kaluza-Klein mechanism, it was realized that extradimensional models are plagued with massless scalar fields when compactified to 4D
The dilaton and complex structure moduli can be stabilized in a supersymmetric minimum by solving the equation DaW = 0 which may have a solution for generic choice of the flux
Moduli Stabilization in Large Volume Scenario. Another alternative scenario for moduli stabilization based on a Large Volume Scenario has been proposed by Quevedo et al [9, 10] in order to overcome some of the drawbacks of the KKLT model
Summary
Ever since the invention of the Kaluza-Klein mechanism, it was realized that extradimensional models are plagued with massless scalar fields when compactified to 4D. The moduli scalar potential V(φ) should be such that its minimum produces the observed value of the cosmological constant This turns out to be a very difficult problem since de Sitter vacua are known to break supersymmetry. Advances in High Energy Physics the introduction of D-branes as nonperturbative objects in string theory This resulted in the celebrated KKLT scenario in which a moduli fixing mechanism was introduced [7]. Realistic models of moduli stabilization must come as close as possible to the observed phenomenology at low energy and to account for cosmological inflation at high energy scales From this point of view, we analyze the low energy phenomenology of both KKLT and LVS.
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