J-Intermediate Wakimoto Modules

摘要

In this article we construct certain free field realizations of the affine Lie algebras sl(n + 1, □) that depend on a fixed subset J of N~* and a parameter r, 0 ≤ r ≤ n. For r = 0 our construction generalizes the one obtained in [7] and coincides with the one studied in [26]. In the case r = n, we obtain a generalization of the well-known Wakimoto modules, [12].