Super D-string action on AdS5×S5

We present a supersymmetric and κ-symmetric D-string action on AdS5×S5 in supercoset construction. As in the previous work of the super D-string action in the flat background, the super D-string action on AdS5×S5 can be transformed to a form of the IIB Green-Schwarz superstring action with the SL(2,Z) covariant tension on AdS5×S5 through a duality transformation. In order to understand a part of the duality transformation as SO(2) rotation of N=2 spinor coordinates, it seems to be necessary to fix the κ-symmetry in a gauge condition which simplifies the classical action. This is the article showing for the first time that there exists S-duality in type IIB superstring theory in a curved background whose validity has been conjectured in the past but not shown so far in an explicit way.