English

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

High Energy Physics - Theory 2022-07-29 v1

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.

Keywords

Cite

@article{arxiv.2207.13996,
  title  = {D-brane Superpotentials and Geometric Invariants in Complete Intersection Calabi-Yau Manifolds},
  author = {Xuan Li and Yuan-Chun Jing and Fu-Zhong Yang},
  journal= {arXiv preprint arXiv:2207.13996},
  year   = {2022}
}

Comments

29 pages