Relative periods and open-string integer invariants for a compact Calabi-Yau hypersurface

Abstract

In this work we compute relative periods for B-branes, realized in terms of divisors in a compact Calabi-Yau hypersurface, by means of direct integration. Although we exemplify the method of direct integration with a particular Calabi-Yau geometry, the recipe automatically generalizes for divisors in other Calabi-Yau geometries as well. From the calculated relative periods we extract double-logarithmic periods. These periods qualify to describe disk instanton generated N=1 superpotentials of the corresponding compact mirror Calabi-Yau geometry in the large volume regime. Finally we extract the integer invariants encoded in these brane superpotentials.

24 pages, 3 tables

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Cited by in corpus (29)

• Lectures on F-theory compactifications and model building
• Hints for Off-Shell Mirror Symmetry in type II/F-theory Compactifications
• Computing Brane and Flux Superpotentials in F-theory Compactifications
• The N=1 effective actions of D-branes in Type IIA and IIB orientifolds
• Five-Brane Superpotentials and Heterotic/F-theory Duality
• On N=1 4d Effective Couplings for F-theory and Heterotic Vacua
• Calculations for Mirror Symmetry with D-branes
• The Geometry of D-Brane Superpotentials
• Type II/F-theory Superpotentials with Several Deformations and N=1 Mirror Symmetry
• Fluxbrane Inflation
• D-brane Superpotentials: Geometric and Worldsheet Approaches
• Open mirror symmetry for Pfaffian Calabi-Yau 3-folds
• Five-Brane Superpotentials, Blow-Up Geometries and SU(3) Structure Manifolds
• D7-Brane Moduli vs. F-Theory Cycles in Elliptically Fibred Threefolds
• A Note on Computations of D-brane Superpotential
• Holomorphic Couplings In Non-Perturbative String Compactifications
• Remarks on quiver gauge theories from open topological string theory
• On the Arithmetic of D-brane Superpotentials. Lines and Conics on the Mirror Quintic
• Off-shell D-Brane/F-Theory Effective Superpotentials and Ooguri-Vafa Invariants of Several Compact Calabi-Yau Manifolds
• Flat Connections in Open String Mirror Symmetry
• Deformation Theory of Matrix Factorizations and F-Terms in the Boundary Changing Sector
• Open Mirror Symmetry for Higher Dimensional Calabi-Yau Hypersurfaces
• D-brane superpotentials, SU(2) Ooguri-Vafa invariants and TypeII/F -theory duality
• Type II/F-theory Superpotentials and Ooguri-Vafa Invariants of Compact Calabi-Yau Threefolds with Three Deformations
• Effective Superpotentials of Type II D-brane/F-theory on Compact Complete Intersection Calabi-Yau Threefolds
• D-brane Superpotentials and Ooguri-Vafa Invariants of Compact Calabi-Yau Threefolds
• Superpotentials of D-branes in Calabi-Yau Manifolds with Several Moduli by Mirror Symmetry and Blown-up
• Superpotentials and Geometric Invariants of Parallel/Complete Coincident/Part Coincident D-brane System on Compact Calabi-Yau Manifold
• Topics in Open Topological Strings