Duality of super D-brane actions in type II supergravity background Original Research Article

We show that supersymmetric and κ-symmetric Dp-brane actions in type II supergravity background have the same duality transformation properties as those in a flat Minkowskian background. Specially, it is shown that the super D-string transforms in a covariant way while the super D3-brane is self-dual under the SL(2,Z) duality. Also, the D2-brane and the D4-brane transform in ways expected from the relation between type IIA superstring theory and M-theory. In this present study we confine ourselves to a restricted curved background geometry where the dilation and the axion are set to be zero or constant.