On the free field realization of the osp(1′>2) current algebra

The free field representation of the osp(1′> 2) current algebra is analyzed. The four point conformal blocks of the theory are studied. The structure constants for the product of two arbitrary primary operators are given and the fusion rules of the model are obtained. The connection between the osp(1|2) current algebra and the minimal N = 1 superconformal field theories suggested by these results is discussed.