Duality of Super D-brane Actions in Type IIB Supergravity Background
Tadahiko Kimura, Ichiro Oda
Abstract
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. The present study proves that various duality symmetries, which were originally found in the flat background field, are precisely valid even in the curved background geometry.
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