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All-Genus Open Mirror Symmetry for Toric Calabi-Yau 3-Orbifolds with Multiple Branes
Abstract
We prove the all-genus open mirror symmetry of a toric Calabi-Yau 3-orbifold where the boundary condition is given by multiple Aganagic-Vafa branes. Each brane could be either inner or outer, and admit a fractional framing. The B-model is given by the Chekhov-Eynard-Orantin topological recursion expanded in local coordinates specified by the brane data.
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BibTeX
@misc{fang2026allgenus,
title = {{All-Genus Open Mirror Symmetry for Toric Calabi-Yau 3-Orbifolds with Multiple Branes}},
author = {Bohan Fang and Chiu-Chu Melissa Liu and Song Yu and Zhengyu Zong},
howpublished = {arXiv},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2609.12955},
eprint = {2609.12955},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2609.12955},
}
RIS
TY - UNPB
TI - All-Genus Open Mirror Symmetry for Toric Calabi-Yau 3-Orbifolds with Multiple Branes
AU - Bohan Fang
AU - Chiu-Chu Melissa Liu
AU - Song Yu
AU - Zhengyu Zong
PY - 2026
DA - 2026/09/11
PB - arXiv
DO - 10.48550/arxiv.2609.12955
UR - https://arxiv.org/abs/2609.12955
AB - We prove the all-genus open mirror symmetry of a toric Calabi-Yau 3-orbifold where the boundary condition is given by multiple Aganagic-Vafa branes. Each brane could be either inner or outer, and admit a fractional framing. The B-model is given by the Chekhov-Eynard-Orantin topological recursion expanded in local coordinates specified by the brane data.
ER -