Dual D-Brane Actions on $AdS^5 \times S^5$

TL;DR

This paper constructs dual super D-brane actions on $AdS_5 imes S^5$ using a coset superspace approach, demonstrating their SL(2, Z) symmetry and covariance under SO(2) rotations of Type IIB spinors.

Contribution

It introduces a method to derive dual D-brane actions on $AdS_5 imes S^5$ with SL(2, Z) invariance, emphasizing the role of superspace algebra covariance.

Findings

Dual D1- and D3-brane actions exhibit SL(2, Z) symmetry.

Covariance of superspace algebra under SO(2) rotations is crucial.

World-volume actions are consistent with expected duality properties.

Abstract

Utilizing coset superspace approach, dual actions of super D1-and D3-branes on $AdS_5 \times S^5$ are constructed by carrying out duality transformation of world-volume U(1) gauge field. Resulting world-volume actions are shown to possess expected SL(2,{\bf Z}) properties. Crucial ingredient for deriving SL(2, {\bf Z}) transformation property of the D-brane actions is covariance of SU(2,2|4) coset superspace algebra under SO(2) rotation between two ten-dimensional Type IIB Majorana-Weyl spinors.