Infinite Abelian Subalgebras in Quantum W-Algebras: An Elementary Proof

Details Infinite Abelian Subalgebras in Quantum W-Algebras: An Elementary Proof Infinite Abelian Subalgebras in Quantum W-Algebras: An Elementary Proof

1994-02-10

arxiv.org/abs/hep-th/9402058v1

Physics

High Energy Physics

High Energy Physics - Theory

22 pages, 2 fig. included

Scientific paper

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.

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