Infinite Abelian Subalgebras in Quantum W-Algebras: An Elementary Proof
arXiv:hep-th/9402058
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.
22 pages, 2 fig. included