Advances in Theoretical and Mathematical Physics

On $\mathcal{N} = 1$ 4d effective couplings for F-theory and heterotic vacua

Abstract

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.

Article information

Source
Adv. Theor. Math. Phys., Volume 14, Number 5 (2010), 1433-1514.

Dates
First available in Project Euclid: 21 September 2011

Permanent link to this document
https://projecteuclid.org/euclid.atmp/1316638443

Mathematical Reviews number (MathSciNet)
MR2826186

Zentralblatt MATH identifier
1251.81076

Citation

Jockers, Hans; Mayr, Peter; Walcher, Johannes. On $\mathcal{N} = 1$ 4d effective couplings for F-theory and heterotic vacua. Adv. Theor. Math. Phys. 14 (2010), no. 5, 1433--1514. https://projecteuclid.org/euclid.atmp/1316638443

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