Super M-brane actions in AdS(4)xS(7) and AdS(7)xS(4) - art. no. 066003

The world-volume action of the M2-brane and the M5-brane in an AdS(4) x S-7 and an AdS(7) x S-4 background is derived to all orders in anticommuting s uperspace coordinates theta. Contrary to recent constructions of super p-br ane actions relying on supercoset methods, we only use 11-dimensional super gravity torsion and curvature constraints. Complete agreement between the t wo methods is found. The possible simplification of the action by choosing a suitable kappa gauge is discussed. [S0556-2821(99)08004-2].