Instantons, Hypermultiplets and the Heterotic String
arXiv:0704.3308 · doi:10.1088/1126-6708/2007/07/086
Abstract
Hypermultiplet couplings in type IIA string theory on a Calabi-Yau space can be quantum corrected by D2-brane instantons wrapping special Lagrangian cycles. On the other hand, hypermultiplet couplings in the heterotic string on a K3 surface are corrected by world-sheet instantons wrapping curves. In a class of examples, we relate these two sets of instanton corrections. We first present an analogue of the c-map for the heterotic string via a dual flux compactification of M-theory. Using this duality, we propose two ways of capturing quantum corrections to hypermultiplets. We then use the orientifold limit of certain F-theory compactifications to relate curves in K3 to special Lagrangians in dual type IIA compactifications. We conclude with some results from perturbative string theory for hypermultiplet F-terms and a conjecture about the topology of brane instantons.
52 pages, LaTeX; references, some corrections and clarifications added to the published version
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Cited by in corpus (12)
- D-brane Instantons in Type II String Theory
- Torsional Heterotic Geometries
- M-theory and Type IIA Flux Compactifications
- D-instantons and twistors
- Lifting D-Instanton Zero Modes by Recombination and Background Fluxes
- On N=1 4d Effective Couplings for F-theory and Heterotic Vacua
- Heterotic-Type IIA Duality and Degenerations of K3 Surfaces
- Quaternionic Kahler Manifolds, Constrained Instantons and the Magic Square: I
- A Note on Heterotic Dualities via M-theory
- Membrane instantons from mirror symmetry
- Heterotic-type II duality in twistor space
- Heterotic-Type II duality in the hypermultiplet sector