QUANTUM GROUP SYMMETRY OF N = 1 SUPERCONFORMAL FIELD-THEORIES

We use the Gomez-Sierra contour deformation techniques to show that N = 1 superconformal field theories with 2c/3 < 1, in their Coulomb gas version, contain a quantum group structure as an underlying symmetry. In particular, we construct from the thermal subalgebras of these theories, the representation spaces of the quantized universal enveloping superalgebra U(q)osp(2, 1) and show how to compute its R-matrix, the comultiplication rules and its quantum Clebsch-Gordan coefficients by using a convenient definition of the screened vertex operators and an explicit realization of its generators.