English

Toroidal Lie superalgebras and free field representations

Quantum Algebra 2020-08-05 v1 High Energy Physics - Theory

Abstract

A loop-algebraic presentation is given for toroidal Lie superalgebras of classical types. Based on the loop superalgebra presentation free field realizations of toroidal Lie superalgebras are constructed for types A(m,n)A(m,n), B(m,n)B(m,n), C(n) and D(m,n)D(m,n).

Keywords

Cite

@article{arxiv.1308.2826,
  title  = {Toroidal Lie superalgebras and free field representations},
  author = {Naihuan Jing and Chongbin Xu},
  journal= {arXiv preprint arXiv:1308.2826},
  year   = {2020}
}

Comments

23 pages

R2 v1 2026-06-22T01:08:34.667Z