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

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

2009-04-29

arxiv.org/abs/0904.4674v1

Nucl.Phys.B821:535-552,2009

Physics

High Energy Physics

High Energy Physics - Theory

24 pages, 3 tables

Scientific paper

10.1016/j.nuclphysb.2009.05.019

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.

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