Free field realization of q-deformed primary fields for Uq(2)
Abstract
The q-vertex operators of Frenkel and Reshetikhin are studied by means of a q-deformation of the Wakimoto module for the quantum affine algebra Uq(2) at an arbitrary level k 0,-2. A Fock module version of the q-deformed primary field of spin j is introduced, as well as the screening operators which (anti-)commute with the action of Uq(2) up to a total difference of a field. A proof of the intertwining property is given for the q-vertex operators corresponding to the primary fields of spin j 1 2≥0, which is enough to treat a general case. A sample calculation of the correlation function is also given.
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