paper

Bosonic free field realization of twisted 2-toroidal Lie algebras

arXiv:1812.03268

Abstract

Using free fields, we construct a bosonic realization of toroidal Lie algebras of type which are twisted by a Dynkin diagram automorphism. This realization is based upon the recently found Moody-Rao-Yokonuma-like presentation. In particular, our construction contains the first bosonic realization of the twisted affine algebra .