Bosonic realization of toroidal Lie algebras of classical types
Quantum Algebra
2009-08-04 v1 Representation Theory
Abstract
Generalizing Feingold-Frenkel's construction we use Weyl bosonic fields to construct toroidal Lie algebras of types , and of level and -2 respectively. In particular, our construction also gives new bosonic construction for the orthogonal Lie algebras in the cases of affine Lie algebras.
Keywords
Cite
@article{arxiv.0908.0211,
title = {Bosonic realization of toroidal Lie algebras of classical types},
author = {Naihuan Jing and Kailash Misra and Chongbin Xu},
journal= {arXiv preprint arXiv:0908.0211},
year = {2009}
}