Membranes and three-form supergravity Original Research Article

We discuss membranes in four-dimensional N = 1 superspace. The κ-invariance of the Green-Schwarz action implies that there is a dual version of N = 1 supergravity with a three-form potential. We formulate this new supergravity in terms of a three-form superfield in curved superspace, giving the relevant constraints on the field strength. The corresponding membrane soliton in the new supergravity is given and we discuss how the extended supersymmetry algebra emerges from the symmetries of the flat superspace background.