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We discuss the four-dimensional N=1 effective actions of single space-timefilling Dp-branes in general Type IIA and Type IIB Calabi-Yau orientifoldcompactifications. The effective actions depend on an infinite number of normaldeformations and gauge connection modes. For D6-branes the N=1 Kaehlerpotential, the gauge-coupling function, the superpotential and the D-terms aredetermined as functions of these fields. They can be expressed as integralsover chains which end on the D-brane cycle and a reference cycle. The infinitedeformation space will reduce to a finite-dimensional moduli space of specialLagrangian submanifolds upon imposing F- and D-term supersymmetry conditions.We show that the Type IIA moduli space geometry is captured by three realfunctionals encoding the deformations of special Lagrangian submanifolds,holomorphic three-forms and Kaehler two-forms of Calabi-Yau manifolds. Theseelegantly combine in the N=1 Kaehler potential, which reduces after applyingmirror symmetry to the results previously determined for space-time fillingD3-, D5- and D7-branes. We also propose general chain integral expressions forthe Kaehler potentials of Type IIB D-branes.

The N=1 effective actions of D-branes in Type IIA and IIB orientifolds