On flux compactification and moduli stabilization

We study the effect of adding charged matter fields to both D3 and D7 branes in type IIB string theory compactification with fluxes. Generically, charged matter fields induce additional terms to the Kähler form, the superpotential and the D-terms. These terms allow for minima with positive or zero cosmological constants, even in the absence of non-perturbative effects. We show this result first by decoupling the dilaton field along the lines of the KKLT, and second by reincorporating it in the action with the Kähler moduli.