World-sheet Instanton Superpotentials in Heterotic String theory and their Moduli Dependence
arXiv:0810.3087 · doi:10.1088/1126-6708/2009/09/125
Abstract
To understand in detail the contribution of a world-sheet instanton to the superpotential in a heterotic string compactification, one has to understand the moduli dependence (bundle and complex structure moduli) of the one-loop determinants from the fluctuations, which accompany the classical exponential contribution (involving Kähler moduli) when evaluating the world-volume partition function. Here we use techniques to describe geometrically these Pfaffians for spectral bundles over rational base curves in elliptically fibered Calabi-Yau threefolds, and provide a (partially exhaustive) list of cases involving {\em factorising} (or vanishing) superpotential. This gives a conceptual explanation and generalisation of the few previously known cases which were obtained just experimentally by a numerical computation.
57 pages; minor changes, discussion section 1.3 added
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Cited by in corpus (9)
- Stabilizing All Geometric Moduli in Heterotic Calabi-Yau Vacua
- The Atiyah Class and Complex Structure Stabilization in Heterotic Calabi-Yau Compactifications
- Three Looks at Instantons in F-theory -- New Insights from Anomaly Inflow, String Junctions and Heterotic Duality
- On Instanton Superpotentials, Calabi-Yau Geometry, and Fibrations
- On the Heterotic World-sheet Instanton Superpotential and its individual Contributions
- Moduli restriction and Chiral Matter in Heterotic String Compactifications
- F-term Uplift in Heterotic M-theory
- Complete Bundle Moduli Reduction in Heterotic String Compactifications
- Higgs Multiplets in Heterotic GUT Models