D-branes and Normal Functions

David R. Morrison; Johannes Walcher

arxiv: 0709.4028 · v1 · submitted 2007-09-26 · ✦ hep-th · math.AG

D-branes and Normal Functions

David R. Morrison , Johannes Walcher This is my paper

classification ✦ hep-th math.AG

keywords extendednormalpicard-fuchsabel-jacobiassociatedb-modelcalabi-yaucompact

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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. Via the Abel-Jacobi map, the domainwall tension is identified with a Poincare normal function--a transversal holomorphic section of the Griffiths intermediate Jacobian. Within this formalism, we derive the extended Picard-Fuchs equation associated with the mirror of the real quintic.

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