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Regular representations of affine Kac-Moody algebras

High Energy Physics - Theory 2026-03-27 v1

Abstract

In this paper we investigate one Wakimoto-type construction of affine Kac-Moody algebras. We obtain a version of the regular representation, on which the affine algebra acts from the left and from the right with the sum of levels equal to minus two dual Coxeter numbers.

Keywords

Cite

@article{arxiv.hep-th/9308065,
  title  = {Regular representations of affine Kac-Moody algebras},
  author = {B. Feigin and S. Parkhomenko},
  journal= {arXiv preprint arXiv:hep-th/9308065},
  year   = {2026}
}

Comments

plain TEX, 13 pages