DUALITY IN OSP(1 2) CONFORMAL FIELD-THEORY AND LINK INVARIANTS/

We study the crossing symmetry of the conformal blocks of the conforma l field theory based on the affine Lie superalgebra osp(1/2) Within th e framework of a free field realization of the osp(1/2) current algebr a, the fusion and braiding matrices of the model are determined. These results are related in a simple way to those corresponding to the su( 2) algebra by means of a suitable identification of parameters. In ord er to obtain the link invariants corresponding to the osp(1/2) conform al field theory, we analyze the corresponding topological Chern-Simons theory. In a first approach we quantize the Chern-Simons theory on th e torus and, as a result, we get the action of the Wilson line operato rs on the supercharacters of the affine osp(1/2). From this result we get a simple expression relating the osp(1/2) polynomials for torus kn ots and links to those corresponding to the su(2) algebra. Further, th is relation is verified for arbitrary knots and links by quantizing th e Chern-Simons theory on the punctured two-sphere.