We review moduli stabilization in type IIB string theory compactification
with fluxes. We focus on the 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 if m3/2​∼O(1.5) TeV. However, in this case
the relic abundance of the lightest neutralino can not 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 K\"ahler inflation are analyzed. Finally the
problem of moduli destabilization and the effect of string moduli backreaction
on the inflation models are discussed.Comment: 34 pages, 8 figure