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.

28 pages, LaTeX. The description of the large complex structure limit is corrected. The mirror transformation between D-branes is further clarified

References in corpus (6)

• Dirichlet-Branes and Ramond-Ramond Charges
• Bound States Of Strings And $p$-Branes
• D-Branes and Topological Field Theories
• Instantons on D-branes
• D-Brane Realization of N=2 Super Yang-Mills Theory in Four Dimensions
• Mirror Symmetry and the Type II String

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