Intermediate Wakimoto modules for affine sl(n+1)

Ben Cox and Vyacheslav Futorny

Abstract

We construct certain boson type realizations of affine sl(n+1) that depend on a parameter r. When r=0 we get a Fock space realization of Imaginary Verma modules obtained by Cox earlier and when r=n they are the Wakimoto modules constructed by Feigin and Frenkel.

Keywords: Wakimoto module, affine Lie algebra, formal distribution.

AMS Subject Classification: Primary 17B67;81R10.