Bosonic free field realization of twisted 2-toroidal Lie algebras
Abstract
Using free fields, we construct a bosonic realization of toroidal Lie algebras of type A2n-1, A2n, Dn+1, D4 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 D4(3).
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