1207.2824 (Naihuan Jing et al.)

Lie Superalgebras arising from bosonic representation    [PDF]

Naihuan Jing, Chongbin Xu

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 $osp(1|2n)\otimes \mathbb C[s, s^{-1}, t,t^{-1}]$.

View original: http://arxiv.org/abs/1207.2824