English

On Vertex Operator Construction of Quantum Affine Algebras

High Energy Physics - Theory 2009-07-10 v3

Abstract

We describe the construction of the quantum deformed affine Lie algebras using the vertex operators in the free field theory. We prove the Serre relations for the quantum deformed Borel subalgebras of affine algebras, namely the case of sl^2\hat{\it sl}_{2} is considered in detail. We provide some formulas for generators of affine algebra.

Keywords

Cite

@article{arxiv.hep-th/0110148,
  title  = {On Vertex Operator Construction of Quantum Affine Algebras},
  author = {S. Klevtsov},
  journal= {arXiv preprint arXiv:hep-th/0110148},
  year   = {2009}
}

Comments

LaTeX, 9 pages; typos corrected, references added