Advances in Theoretical and Mathematical Physics

D-branes and normal functions

David R. Morrison and Johannes Walcher

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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 Poincar´e 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.

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Adv. Theor. Math. Phys., Volume 13, Number 2 (2009), 553-598.

First available in Project Euclid: 17 February 2009

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Morrison, David R.; Walcher, Johannes. D-branes and normal functions. Adv. Theor. Math. Phys. 13 (2009), no. 2, 553--598.

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