Moduli Stabilization in Type IIB Orientifolds (II)
Abstract
We discuss general properties of moduli stablization in KKLT scenarios in type IIB orientifold compactifications. In particular, we find conditions for the Kaehler potential to allow a KKLT scenario for a manifold X6 without complex structure moduli, i.e. h(2,1)(X6)=0. This way, a whole class of type IIB orientifolds with h(2,1)(X6)=0 is ruled out. This excludes in particular all ZN- and ZN x ZM-orientifolds X6 with h(2,1)(X6)=0 for a KKLT scenario. This concerns Z3, Z7, Z3 x Z3, Z4 x Z4, Z6 x Z6 and Z2 x Z6' -both at the orbifold point and away from it. Furthermore, we propose a mechanism to stabilize the Kaehler moduli accociated to the odd cohomology H(1,1)-(X6). In the second part of this work we discuss the moduli stabilization of resolved type IIB ZN- or ZN x ZM - orbifold/orientifold compactifications. As examples for the resolved Z6 and Z2 x Z4 orbifolds we fix all moduli through a combination of fluxes and racetrack superpotential.
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