MATRIX-ELEMENTS OF U(Q)[SU(2)(K)] VERTEX OPERATORS VIA BOSONIZATION

We construct bosonized vertex operators (VO's) and conjugate vertex operators (CVO's) of U(q)[su(2)k] for arbitrary level k and representation j less-than-or-equal-to k/2. Both are obtained directly as two solutions of the defining condition of vertex operators - namely that they intertwine U(q)[su(2)k] modules. We construct the screening charge and present a formula for the n-point function. Specializing to j = 1/2 we construct all VO's and CVO's explicitly. The existence of the CVO allows us to place the calculation of the two-point function on the same footing as k = 1; that is, it is obtained without screening currents and involves only a single integral from the CVO. This integral is evaluated and the resulting function is shown to obey the q-KZ equation and to reduce simply to both the expected k = 1 and q = 1 limits.