Super D-string Action on $AdS_5 \times S^5$

TL;DR

This paper constructs a supersymmetric D-string action on $AdS_5 imes S^5$, demonstrating S-duality in type IIB superstring theory within a curved background, a previously unproven conjecture.

Contribution

It provides the first explicit demonstration of S-duality for type IIB superstrings in a curved background using a supercoset construction.

Findings

Super D-string action on $AdS_5 imes S^5$ is supersymmetric and $ppa$-symmetric.

The action can be transformed into a form of the IIB Green-Schwarz superstring with $SL(2,Z)$ covariant tension.

Explicit demonstration of S-duality in a curved background for the first time.

Abstract

We present a supersymmetric and $\kappa$-symmetric D-string action on $AdS_5 \times S^5$ in supercoset construction. As in the previous work of the super D-string action in the flat background, the super D-string action on $AdS_5 \times S^5$ can be transformed to a form of the IIB Green-Schwarz superstring action with the $SL(2,Z)$ covariant tension on $AdS_5 \times S^5$ 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 $\kappa$-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.