A Two Parameter Family of the Calabi-Yau d-Fold
Katsuyuki Sugiyama
TL;DR
This paper investigates a two-parameter family of Calabi-Yau d-folds using mirror symmetry, revealing complex instanton corrections that suggest continuous families of instantons.
Contribution
It constructs mirror maps and computes correlation functions for the { ae} moduli, highlighting more intricate instanton effects than in threefolds.
Findings
More complicated instanton corrections than threefolds
Presence of continuous parameters in instanton families
Enhanced understanding of mirror symmetry in higher-dimensional Calabi-Yau manifolds
Abstract
We study a two parameter family of Calabi-Yau d-fold by means of mirror symmetry. We construct mirror maps and calculate correlation functions associated with {\kae} moduli in the original manifold. We find there are more complicated instanton corrections of these couplings than threefolds, which is expected to reflect families of instantons with continous parameters.
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