Certain hat{sl}_2-modules admit Wakimoto realizations at critical and non-critical levels; simple quotients at critical level match known irreducible Wakimoto modules, and some Wakimoto modules are generalized as Whittaker modules.
Frenkel, Lectures on Wakimoto modules, opers and the center at the critical level, Adv
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Irreducibility of Certain $\widehat{\mathfrak{sl}}_2$-Modules of Wakimoto Type
Certain hat{sl}_2-modules admit Wakimoto realizations at critical and non-critical levels; simple quotients at critical level match known irreducible Wakimoto modules, and some Wakimoto modules are generalized as Whittaker modules.