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arXiv · 2207.13996

D-brane Superpotentials and Geometric Invariants in Complete Intersection Calabi-Yau Manifolds

Xuan Li·Yuan-Chun Jing·Fu-Zhong Yang
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Abstract

By blowing up the ambient space along the curve wrapped by B-branes, we study the brane superpotentials and Ooguri-Vafa invariants on complete intersections Calabi-Yau threefolds. On the topological B-model side, B-brane superpotentials are expressed in terms of the period integral of the blow-up manifolds. By mirror maps, the superpotentials are generating functions of Ooguri-Vafa invariants counting holomorphic disks on the topological A-model side.

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Xuan Li, Yuan-Chun Jing, Fu-Zhong Yang. 2022-07-28. D-brane Superpotentials and Geometric Invariants in Complete Intersection Calabi-Yau Manifolds. https://arxiv.org/abs/2207.13996

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