Lie Superalgebras arising from bosonic representation

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

References in corpus (2)

• Fermionic realization of toroidal Lie algebras of classical types
• Fermionic realization of two-parameter quantum affine algebra $U_{r,s}(s{l}_n)$