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Published October 14, 1996 | Submitted
Journal Article Open

D-branes on Calabi-Yau spaces and their mirrors

Abstract

We study the boundary states of D-branes wrapped around supersymmetric cycles in a general Calabi-Yau manifold. In particular, we show how the geometric data on the cycles are encoded in the boundary states. As an application, we analyze how the mirror symmetry transforms D-branes, and we verify that it is consistent with the conjectured periodicity and the monodromy of the Ramond-Ramond field configuration on a Calabi-Yau manifold. This also enables us to study open string worldsheet instanton corrections and relate them to closed string instanton counting. The cases when the mirror symmetry is realized as T-duality are also discussed.

Additional Information

© 1996 Elsevier. Received 19 June 1996, Accepted 16 July 1996. We would like to thank K. Becker, T. Eguchi, D. Gepner, B. Greene, S. Katz, M. Li, J. Maldacena, D. Morrison, R. Plesser, J. Polchinski, A. Schwimmer, A. Strominger and C. Vafa for useful discussions. Y.O. would like to thank LBNL for hospitality during the final stages of this work. This work was supported in part by the National Science Foundation under grants PHS-9501018 and PHY-951497 and in part by the Director, Office of Energy Research, Office of High Energy and Nuclear Physics of the U.S. Department of Energy under Contract DE-AC03-76SF00098. Y.O. is partially supported by the Israel Science Foundation through the Center for the Physics of Basic Interactions. Z.Y. is supported by Graduate Research Fellowship of the U.S. Department of Education.

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