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Geometric realizations of Wakimoto modules at the critical level

Geometric realizations of Wakimoto modules at the critical level

We study the Wakimoto modules over the affine Kac-Moody algebras at the critical level from the point of view of the equivalences of categories proposed in our previous works, relating categories of representations and certain categories of sheaves. In particular, we explicitly describe geometric realizations of Wakimoto modules as Hecke …