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Non-Perturbative Superpotentials in F-theory and String Duality

P. Berglund·P. Mayr
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Abstract

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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P. Berglund, P. Mayr. 2005-05-12. Non-Perturbative Superpotentials in F-theory and String Duality. https://doi.org/10.1007/jhep01(2013)114

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