STRUCTURE CONSTANTS FOR THE OSP(1-VERTICAL-BAR-2) CURRENT-ALGEBRA

We study the free field realization of the two-dimensional osp(1\2) cu rrent algebra. We consider the case in which the level of the affine o sp(1\2) symmetry is a positive integer. Using the Coulomb gas techniqu e we obtain integral representations for the conformal blocks of the m odel. In particular, from the behaviour of the four-point function, we extract the structure constants for the product of two arbitrary prim ary operators of the theory. From this result we derive the fusion rul es of the osp(1\2) conformal held theory and we explore the connection s between the osp(1\2) affine symmetry and the N = 1 superconformal fi eld theories. (C) 1997 Elsevier Science B.V.