Article

# Lie Superalgebras arising from bosonic representation

07/2012;
Source: arXiv

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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