Non-Perturbative Superpotentials in F-theory and String Duality

Details Non-Perturbative Superpotentials in F-theory and String Duality Non-Perturbative Superpotentials in F-theory and String Duality

2005-04-07

arxiv.org/abs/hep-th/0504058v2

Physics

High Energy Physics

High Energy Physics - Theory

49 pages, harvmac, 1 figure; references & figures added

Scientific paper

We use open-closed string duality between F-theory on K3xK3 and type II strings on CY manifolds without branes to study non-perturbative superpotentials in generalized flux compactifications. On the F-theory side we obtain the full flux potential including D3-instanton contributions and show that it leads to an explicit and simple realization of the three ingredients of the KKLT model for stringy dS vacua. The D3-instanton contribution is highly non-trivial, can be systematically computed including the determinant factors and demonstrates that a particular flux lifts very effectively zero modes on the instanton. On the closed string side, we propose a generalization of the Gukov-Vafa-Witten superpotential for type II strings on generalized CY manifolds, depending on all moduli multiplets.

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