Abstract

In this article we construct certain free field realizations of the affine Lie algebras 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].

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