Double Scaling Limit of the Supervirasoro Constraints

⋆ Permanent address: Universität Bonn, Physikalisches Institut, Nussallee 12, W-5300 Bonn 1, Germany. We obtain the double scaling limit of a set of superloop equations recently proposed to describe the coupling of two-dimensional supergravity to minimal superconformal matter of type (2, 4m). The continuum loop equations are described in terms of a ĉ = 1 theory with a Z2-twisted scalar field and a Weyl-Majorana fermion in the Ramond sector. We have computed correlation functions in genus zero, one and partially in genus two. An integrable supersymmetric hierarchy describing our model has not yet been found. We present a heuristic argument showing that the purely bosonic part of our model is described by the KdV-hierarchy.