2009/04/29 by Hans Jockers, Masoud Soroush · 42 citations
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Brane #Calabi–Yau manifold #Computer science #Geometry #Hypersurface #Instanton #Integer (computer science) #Logarithm #Mathematical analysis #Mathematical physics #Mathematics #Mirror symmetry #Nonlinear Waves and Solitons #Physics #Pure mathematics #Quantum Chromodynamics and Particle Interactions #String (physics) #Theoretical physics #hep-th
paper · pdf · doi:10.1016/j.nuclphysb.2009.05.019
published in Nuclear Physics B 821(3), 535-552 (Elsevier BV) · 24 pages, 3 tables
arxiv created 2009/04/29 · openalex publication_date 2009/05/29 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
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.