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

A bstract 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 satisfy...

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Bibliographic Details
Published in:The journal of high energy physics 2022-02, Vol.2022 (2), p.203-51, Article 203
Main Authors: Li, Xuan, Jing, Yuan-Chun, Yang, Fu-Zhong
Format: Article
Language:English
Subjects:
Branes
Classical and Quantum Gravitation
D-Branes
Elementary Particles
Flux Compactifications
Geometry
High energy physics
Hyperspaces
Manifolds
Physics
Physics and Astronomy
Quantum Field Theories
Quantum Field Theory
Quantum Physics
Regular Article - Theoretical Physics
Relativity Theory
String Theory
Symmetry
Topological Strings
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Summary:A bstract 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.
ISSN:1029-8479
1029-8479
DOI:10.1007/JHEP02(2022)203