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Bosonic free field realization of twisted 2-toroidal Lie algebras

Published 8 Dec 2018 in math.RT | (1812.03268v1)

Abstract: Using free fields, we construct a bosonic realization of toroidal Lie algebras of type $A_{2n-1}, A_{2n}, D_{n+1}, D_4$ 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 $D_4{(3)}$.

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