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Non-perturbative superpotentials in F-theory and string duality

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Abstract

We use open-closed string duality between F-theory on K3 × K3 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 describe 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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Berglund, P., Mayr, P. Non-perturbative superpotentials in F-theory and string duality. J. High Energ. Phys. 2013, 114 (2013). https://doi.org/10.1007/JHEP01(2013)114

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