Open Access
October 2010 On $\mathcal{N} = 1$ 4d effective couplings for F-theory and heterotic vacua
Hans Jockers, Peter Mayr, Johannes Walcher
Adv. Theor. Math. Phys. 14(5): 1433-1514 (October 2010).


We show that certain superpotential and Kähler potential couplings of $\mathcal{N} = 1$ 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 byWarner that relates the deformation spaces of certain matrix factorizations and the periods of non-compact four-folds that are ALE fibrations.


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Hans Jockers. Peter Mayr. Johannes Walcher. "On $\mathcal{N} = 1$ 4d effective couplings for F-theory and heterotic vacua." Adv. Theor. Math. Phys. 14 (5) 1433 - 1514, October 2010.


Published: October 2010
First available in Project Euclid: 21 September 2011

zbMATH: 1251.81076
MathSciNet: MR2826186

Rights: Copyright © 2010 International Press of Boston

Vol.14 • No. 5 • October 2010
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