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Abstract: Generalizing Feingold-Frenkel-s construction we use Weyl bosonic fields toconstruct 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 givesnew bosonic construction for the orthogonal Lie algebras in the cases of affineLie algebras.



Author: Naihuan Jing, Kailash Misra, Chongbin Xu

Source: https://arxiv.org/



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