Superpotentials of D-branes in Calabi-Yau manifolds with several moduli by mirror symmetry and blown-up

Author:

Li Xuan,Jing Yuan-Chun,Yang Fu-ZhongORCID

Abstract

Abstract We study B-brane superpotentials depending on several closed- and open-moduli on Calabi-Yau hypersurfaces and complete intersections. By blowing up the ambient space along a curve wrapped by B-branes in a Calabi-Yau manifold, we obtain a blow-up new manifold and the period integral satisfying the GKZ-system. Via mirror symmetry to A-model, we calculate the superpotentials and extract Ooguri-Vafa invariants for concrete examples of several open-closed moduli in Calabi-Yau manifolds.

Publisher

Springer Science and Business Media LLC

Subject

Nuclear and High Energy Physics

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