  We consider the 2D super Liouville gravity coupled to the minimal
superconformal theory. We analyze the physical states in the theory and give
the general form of the n-point correlation numbers on the sphere in terms of
integrals over the moduli space. The three-point correlation numbers are
presented explicitly. For the four-point correlators, we show that the integral
over the moduli space reduces to the boundary terms if one of the fields is
degenerate. It turns out that special logarithmic fields are relevant for
evaluating these boundary terms. We discuss the construction of these fields
and study their operator product expansions. This analysis allows evaluating
the four-point correlation numbers. The derivation is analogous to the one in
the bosonic case and is based on the recently derived higher equations of
motion of the super Liouville field theory.
