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arXiv · 1812.03268

Bosonic free field realization of twisted 2-toroidal Lie algebras

Chad R. Mangum
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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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BibTeXRIS

Chad R. Mangum. 2018-12-08. Bosonic free field realization of twisted 2-toroidal Lie algebras. https://arxiv.org/abs/1812.03268

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