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

References in corpus (3)

• N=1 Special Geometry, Mixed Hodge Variations and Toric Geometry
• Holomorphic N=1 Special Geometry of Open--Closed Type II Strings
• Integrality theorems in the theory of topological strings

Cited by in corpus (2)

• Calculations for Mirror Symmetry with D-branes
• Deformation Theory of Matrix Factorizations and F-Terms in the Boundary Changing Sector