D-branes on Calabi–Yau Manifolds and Superpotentials

@article{Douglas2002DbranesOC,
  title={D-branes on Calabi–Yau Manifolds and Superpotentials},
  author={M. Douglas and S. Govindarajan and T. Jayaraman and A. Tomasiello},
  journal={Communications in Mathematical Physics},
  year={2002},
  volume={248},
  pages={85-118}
}
We show how to compute terms in an expansion of the world-volume superpotential for fairly general D-branes on the quintic Calabi-Yau using linear sigma model techniques, and show in examples that this superpotential captures the geometry and obstruction theory of bundles and sheaves on this Calabi-Yau. 

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