We discuss membranes in four-dimensional N = 1 superspace, The kappa-i
nvariance of the Green-Schwarz action implies that there is a dual ver
sion of N = 1 supergravity with a three-form potential. We formulate t
his new supergravity in terms of a three-form superfield in curved sup
erspace, giving the relevant constraints on the held strength, The cor
responding membrane soliton in the new supergravity is given and we di
scuss how the extended supersymmetry algebra emerges from the symmetri
es of the flat superspace background. (C) 1997 Elsevier Science B.V.