The Integrals of Motion for the Deformed Virasoro Algebra
arXiv:0705.0427
Abstract
We explicitly construct two classes of infinitly many commutative operators in terms of the deformed Virasoro algebra. We call one of them local integrals and the other nonlocal one, since they can be regarded as elliptic deformations of the local and nonlocal integrals of motion obtained by V.Bazhanov, S.Lukyanov and Al.Zamolodchikov.
Dedicated to Professor Masaki Kashiwara on the occasion on the 60th birthday