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arXiv · 1207.2824

Lie Superalgebras arising from bosonic representation

Naihuan Jing·Chongbin Xu
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Abstract

A 2-toroidal Lie superalgebra is constructed using bosonic fields and a ghost field. The superalgebra contains $osp(1|2n)^{(1)}$ as a distinguished subalgebra and behaves similarly to the toroidal Lie superalgebra of type $B(0, n)$. Furthermore this algebra is a central extension of the algebra $osp(1|2n)\otimes \mathbb C[s, s^{-1}, t,t^{-1}]$.

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Naihuan Jing, Chongbin Xu. 2012-07-12. Lie Superalgebras arising from bosonic representation. https://doi.org/10.1080/00927872.2012.713062

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