Dual super Dp-brane actions are constructed by carrying out a duality
transformation of the world-volume U(1) gauge field. The resulting wor
ld-volume actions, which contain a (p - 2)-form gauge field, are shown
to have the expected properties. Specifically, the D1-brane and D3-br
ane transform in ways that can be understood on the basis of the SL(2,
Z) duality of type IIB superstring theory. Also, the D2-brane and the
D4-brane transform in ways that are expected on the basis of the rela
tionship between type IIA superstring theory and 11D M-theory. For exa
mple, the dual D4-brane action is shown to coincide with the double-di
mensional reduction of the recently constructed M5-brane action. The i
mplications for gauge-fixed D-brane actions are discussed briefly. (C)
1997 Elsevier Science B.V.