On N=1 4d effective couplings for F-theory and heterotic vacua

We show that certain superpotential and Kahler potential couplings of N=1 supersymmetric compactifications with branes or bundles can be computed from Hodge theory and mirror symmetry. This applies to F-theory on a Calabi-Yau four-fold and three-fold compactifications of type II and heterotic string...

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Bibliographic Details
Main Authors: Jockers, Hans (Author) , Mayr, Peter (Author) , Walcher, Johannes (Author)
Format: Article (Journal) Chapter/Article
Language:English
Published: 2010
In: Arxiv

Online Access:Verlag, kostenfrei, Volltext: http://arxiv.org/abs/0912.3265
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Author Notes:Hans Jockers, Peter Mayr, Johannes Walcher
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Summary:We show that certain superpotential and Kahler potential couplings of N=1 supersymmetric compactifications with branes or bundles can be computed from Hodge theory and mirror symmetry. This applies to F-theory on a Calabi-Yau four-fold and three-fold compactifications of type II and heterotic strings with branes. The heterotic case includes a class of bundles on elliptic manifolds constructed by Friedmann, Morgan and Witten. Mirror symmetry of the four-fold computes non-perturbative corrections to mirror symmetry on the three-folds, including D-instanton corrections. We also propose a physical interpretation for the observation by Warner that relates the deformation spaces of certain matrix factorizations and the periods of non-compact 4-folds that are ALE fibrations.
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