Real Mirror Symmetry for One-parameter Hypersurfaces
Daniel Krefl, Johannes Walcher
TL;DR
This paper investigates open string mirror symmetry for one-parameter Calabi-Yau hypersurfaces, identifying mirror D-brane pairs, deriving Picard-Fuchs equations, and analyzing domainwall tensions to reveal novel features in the moduli space.
Contribution
It introduces new calculations of mirror D-brane configurations and domainwall tensions for one-parameter Calabi-Yau hypersurfaces, extending previous work beyond quintic and local models.
Findings
Identification of mirror D-brane pairs
Derivation of inhomogeneous Picard-Fuchs equations
Analytic solutions for domainwall tensions
Abstract
We study open string mirror symmetry for one-parameter Calabi-Yau hypersurfaces in weighted projective space. We identify mirror pairs of D-brane configurations, derive the corresponding inhomogeneous Picard-Fuchs equations, and solve for the domainwall tensions as analytic functions over moduli space. Our calculations exemplify several features that had not been seen in previous work on the quintic or local Calabi-Yau manifolds. We comment on the calculation of loop amplitudes.
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