Advances in Theoretical and Mathematical Physics

D-branes and normal functions

David R. Morrison and Johannes Walcher

Full-text: Open access

Abstract

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.

Article information

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

Dates
First available in Project Euclid: 17 February 2009

Permanent link to this document
https://projecteuclid.org/euclid.atmp/1234881641

Mathematical Reviews number (MathSciNet)
MR2481273

Zentralblatt MATH identifier
1166.81036

Citation

Morrison, David R.; Walcher, Johannes. D-branes and normal functions. Adv. Theor. Math. Phys. 13 (2009), no. 2, 553--598. https://projecteuclid.org/euclid.atmp/1234881641


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