Morrison, David R.; Walcher, Johannes D-branes and normal functions. (English) Zbl 1166.81036 Adv. Theor. Math. Phys. 13, No. 2, 553-598 (2009). Summary: We explain the B-model origin of extended Picard-Fuchs equations satisfied by the D-brane superpotential on compact Calabi-Yau threefolds. The domainwall tension is identified with a Poincaré normal function – a transversal holomorphic section of the Griffiths intermediate Jacobian – via the Abel-Jacobi map. Within this formalism, we derive the extended Picard-Fuchs equation associated with the mirror of the real quintic. Cited in 21 Documents MSC: 81T30 String and superstring theories; other extended objects (e.g., branes) in quantum field theory 83E30 String and superstring theories in gravitational theory 14J32 Calabi-Yau manifolds (algebro-geometric aspects) PDF BibTeX XML Cite \textit{D. R. Morrison} and \textit{J. Walcher}, Adv. Theor. Math. Phys. 13, No. 2, 553--598 (2009; Zbl 1166.81036) Full Text: DOI arXiv OpenURL