Realization of spacetime conformal symmetry in D=10, N=1 superspace

Starting from an investigation of D = 10, N = 1 superspace geometry, we identify realizations of spacetime conformal symmetry on the superspace supergravity superfields. It is shown that the requirement of k-symmetry of the Green-Schwarz action is consistent with this conformal D = 10, N = 1 superspace supergravity theory. The relationship with the third-rank and seventh-rank field strength formulations is also clarified. (orig.)