Structure constants in the N=1 super-Liouville field theory

The symmetry algebra of N = I super-liouville field theory in two dimensions is the infinite-dimensional N = 1 superconformal algebra, which allows one to prove that correlation functions containing degenerated fields obey some partial linear differential equations. In the special case of four-point function, including a primary field degenerated at the first level, these differential equations can be solved via hypergeometric functions. Taking into account mutual locality properties of fields and investigating s- and t-channel singularities we obtain some functional relations for three-point correlation functions. Solving this functional equations we obtain three-point functions in both Neveu-Schwarz and Ramond sectors. (C) 1997 Elsevier Science B.V.