Super D-string Action on $Ad{S}_5\times S^5$

Abstract

We present a supersymmetric and $\kappa$-symmetric D-string action on $Ad{S}_5\times S^5$ in supercoset construction. As in the previous work of the super D-string action in the flat background, the super D-string action on $Ad{S}_5\times S^5$ can be transformed to a form of the IIB Green-Schwarz superstring action with the $SL(2,Z)$ covariant tension on $Ad{S}_5\times S^5$ 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.

12 pages, LaTex2e

References in corpus (4)

• Covariant Action for the Super-Five-Brane of M-Theory
• On the equivalence of different formulations of the M Theory five--brane
• Dual D-Brane Actions
• Path Integral Equivalence between Super D-string and IIB Superstring

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• Self-Duality of Super D3-brane Action on $Ad{S}_5\times S^5$ Background
• Supersymmetric instantonic D1-branes in AdS${}_5\times$S${}^5$ background