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arXiv · 1507.08342

Open Mirror Symmetry for Higher Dimensional Calabi-Yau Hypersurfaces

Yoshinori Honma·Masahide Manabe
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Abstract

Compactifications with fluxes and branes motivate us to study various enumerative invariants of Calabi-Yau manifolds. In this paper, we study non-perturbative corrections depending on both open and closed string moduli for a class of compact Calabi-Yau manifolds in general dimensions. Our analysis is based on the methods using relative cohomology and generalized hypergeometric system. For the simplest example of compact Calabi-Yau fivefold, we explicitly derive the associated Picard-Fuchs differential equations and compute the quantum corrections in terms of the open and closed flat coordinates. Implications for a kind of open-closed duality are also discussed.

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Yoshinori Honma, Masahide Manabe. 2015-08-17. Open Mirror Symmetry for Higher Dimensional Calabi-Yau Hypersurfaces. https://doi.org/10.1007/jhep03(2016)160

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