Infinite Abelian Subalgebras in Quantum W-Algebras: An Elementary Proof
High Energy Physics - Theory
2008-02-03 v1 Quantum Algebra
Abstract
An elementary proof is given for the existence of infinite dimensional abelian subalgebras in quantum W-algebras. In suitable realizations these subalgebras define the conserved charges of various quantum integrable systems. We consider all principle W-algebras associated with the simple Lie algebras. The proof is based on the more general result that for a class of vertex operators the quantum operators are related to their classical counterparts by an equivalence transformation.
Keywords
Cite
@article{arxiv.hep-th/9402058,
title = {Infinite Abelian Subalgebras in Quantum W-Algebras: An Elementary Proof},
author = {M. R. Niedermaier},
journal= {arXiv preprint arXiv:hep-th/9402058},
year = {2008}
}
Comments
22 pages, 2 fig. included