On the modified KKLT procedure: a case study for the P_{11169}[18] model

Details On the modified KKLT procedure: a case study for the P_{11169}[18] model On the modified KKLT procedure: a case study for the P_{11169}[18] model

2006-06-06

arxiv.org/abs/hep-th/0606047v1

Int.J.Mod.Phys.A22:3463-3492,2007

Physics

High Energy Physics

High Energy Physics - Theory

29 pages

Scientific paper

10.1142/S0217751X07037019

We probe the existence of supersymmetric vacua of the type IIB orientifold of the elliptic Calabi-Yau space P_{11169}[18] where generically two complex structure moduli z_i, the dilaton tau and the two K\"ahler moduli T_i are stabilized by fluxes and gaugino condensates. The usual KKLT procedure, which integrates out the complex structure moduli and the dilaton, actually has to be modified, such that one keeps the dependence on tau. We derive explicitely the resulting effective superpotential W_{eff}(tau) for the dilaton for various flux combinations. As this is actually a non-holomorphic quantity one must properly work with the G-function. The remaining SUSY equations for tau and the T_i can be resolved explicitely.

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