English

Lie Superalgebras arising from bosonic representation

Quantum Algebra 2020-09-08 v1 High Energy Physics - Theory

Abstract

A 2-toroidal Lie superalgebra is constructed using bosonic fields and a ghost field. The superalgebra contains osp(12n)(1)osp(1|2n)^{(1)} as a distinguished subalgebra and behaves similarly to the toroidal Lie superalgebra of type B(0,n)B(0, n). Furthermore this algebra is a central extension of the algebra osp(12n)C[s,s1,t,t1]osp(1|2n)\otimes \mathbb C[s, s^{-1}, t,t^{-1}].

Keywords

Cite

@article{arxiv.1207.2824,
  title  = {Lie Superalgebras arising from bosonic representation},
  author = {Naihuan Jing and Chongbin Xu},
  journal= {arXiv preprint arXiv:1207.2824},
  year   = {2020}
}
R2 v1 2026-06-21T21:34:19.627Z