English

Intermediate Wakimoto modules for Affine sl(n+1)

Representation Theory 2009-11-10 v1 Mathematical Physics math.MP

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 appearing in the work of the first author and when r=n they are the Wakimoto modules described in the work of Feigin and Frenkel.

Cite

@article{arxiv.math/0308117,
  title  = {Intermediate Wakimoto modules for Affine sl(n+1)},
  author = {Ben Cox and Vyacheslav Futorny},
  journal= {arXiv preprint arXiv:math/0308117},
  year   = {2009}
}