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arXiv · 0908.0211

Bosonic realization of toroidal Lie algebras of classical types

Naihuan Jing·Kailash Misra·Chongbin Xu
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Abstract

Generalizing Feingold-Frenkel's construction we use Weyl bosonic fields to construct toroidal Lie algebras of types $A_n, B_n$, $C_n$ and $D_n$ of level $-1, -2, -1/2$ and -2 respectively. In particular, our construction also gives new bosonic construction for the orthogonal Lie algebras in the cases of affine Lie algebras.

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Naihuan Jing, Kailash Misra, Chongbin Xu. 2009-08-03. Bosonic realization of toroidal Lie algebras of classical types. https://arxiv.org/abs/0908.0211

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