The Integrals of Motion for the Deformed Virasoro Algebra

Details The Integrals of Motion for the Deformed Virasoro Algebra The Integrals of Motion for the Deformed Virasoro Algebra

2007-05-03

arxiv.org/abs/0705.0427v2

Physics

Mathematical Physics

Dedicated to Professor Masaki Kashiwara on the occasion on the 60th birthday

Scientific paper

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.

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