ABSTRACT
We construct an action for a supermembrane propagating in d = 11 supergravity background. Using the constraints of d= 11 curved superspace, we show that the action is invariant under Siegel-type transformations recently generalized by Hughes. Li and Polchinski. The transformation parameter is a world-volume scalar and d = 11 spacetime spinor. We also discuss the general problem of the coupling of n-dimensional extended objects to d-dimensional supergravity.
