On N=1 4d Effective Couplings for F-theory and Heterotic Vacua

Details On N=1 4d Effective Couplings for F-theory and Heterotic Vacua On N=1 4d Effective Couplings for F-theory and Heterotic Vacua

2009-12-17

arxiv.org/abs/0912.3265v2

Adv.Theor.Math.Phys.14:1433-1514,2010

Physics

High Energy Physics

High Energy Physics - Theory

80 pages, harvmac; v2: references added.

Scientific paper

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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