Open mirror symmetry for Pfaffian Calabi-Yau 3-folds

TL;DR

This paper explores open mirror symmetry for pfaffian Calabi-Yau 3-folds, predicting disk invariants using direct integration and analyzing models with multiple mirror points, marking a novel application to non-complete intersections.

Contribution

It is the first to apply open mirror symmetry to compact non-complete intersection Calabi-Yau 3-folds in toric varieties, computing disk invariants for various models.

Findings

Predicted number of disk invariants for several pfaffian Calabi-Yau 3-folds.

Demonstrated different mirror partners at multiple moduli space points.

First application of open mirror symmetry to non-complete intersection Calabi-Yaus.

Abstract

We investigate the open mirror symmetry of certain non-complete intersection Calabi- Yau 3-folds, so called pfaffian Calabi-Yau. We perform the prediction of the number of disk invariants of several examples by using the direct integration method proposed recently and the open mirror symmetry. We treat several pfaffian Calabi-Yau 3-folds in $\mathbb{P}^6$ and branes with two discrete vacua. Some models have the two special points in its moduli space, around both of which we can consider different A-model mirror partners. We compute disc invariants for both cases. This study is the first application of the open mirror symmetry to the compact non-complete intersections in toric variety.