D-branes and Normal Functions

@article{Morrison2007DbranesAN,
  title={D-branes and Normal Functions},
  author={David R. Morrison and Johannes Walcher},
  journal={arXiv: High Energy Physics - Theory},
  year={2007}
}
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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76 References

D-branes on the Quintic

We study D-branes on the quintic CY by combining results from several directions: general results on holomorphic curves and vector bundles, stringy geometry and mirror symmetry, and the boundary…

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D-Branes And Mirror Symmetry

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D-branes from matrix factorizations

Derived Categories and Zero-Brane Stability

We define a particular class of topological field theories associated to open strings and prove the resulting D-branes and open strings form the bounded derived category of coherent sheaves. This…

on D-branes

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Phases Of N=2 Theories In 1+1 Dimensions With Boundary

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Landau-Ginzburg to Calabi-Yau dictionary for D-branes

Based on the work by Orlov (e-print arXiv:math.AG∕0503632), we give a precise recipe for mapping between B-type D-branes in a Landau-Ginzburg orbifold model (or Gepner model) and the corresponding…

Opening Mirror Symmetry on the Quintic

Aided by mirror symmetry, we determine the number of holomorphic disks ending on the real Lagrangian in the quintic threefold. We hypothesize that the tension of the domainwall between the two vacua…

Open string mirror maps from Picard- Fuchs equations on relative cohomology

A method for computing the open string mirror map and superpotential for noncompact Calabi-Yaus, following the physical computations of Lerche and Mayr, is presented. It is also shown that the…
...