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D-branes on Calabi–Yau Manifolds and Superpotentials

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Abstract

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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Authors and Affiliations

  1. Department of Physics and Astronomy, Rutgers University, Piscataway, NJ 08855-0849, USA

    Michael R. Douglas

  2. Isaac Newton Institute for Mathematical Sciences, Cambridge, CB3 0EH, UK

    Michael R. Douglas

  3. I.H.E.S., Le Bois-Marie, 91440, Bures-sur-Yvette, France

    Michael R. Douglas

  4. Department of Physics, Indian Institute of Technology, Madras, Chennai, 600036, India

    Suresh Govindarajan

  5. The Institute of Mathematical Sciences, C.I.T. Campus, Taramani, Chennai, 600113, India

    T. Jayaraman

  6. Centre de Physique Théorique, Ecole Polytechnique, 91128, Palaiseau, France

    Alessandro Tomasiello

Authors
  1. Michael R. Douglas
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  2. Suresh Govindarajan
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  3. T. Jayaraman
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  4. Alessandro Tomasiello
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Correspondence to Alessandro Tomasiello.

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Communicated by R.H. Dijkgraaf

Louis Michel Professor

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Douglas, M., Govindarajan, S., Jayaraman, T. et al. D-branes on Calabi–Yau Manifolds and Superpotentials. Commun. Math. Phys. 248, 85–118 (2004). https://doi.org/10.1007/s00220-004-1091-x

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