On spectrum of ILW hierarchy in conformal field theory

Abstract

We consider a system of Integrals of Motion in conformal field theory related to the gl(2) Intermediate Long Wave equation. It interpolates between the system studied by Bazhanov, Lukyanov and Zamolodchikov and the one studied by the author and collaborators. We find Bethe anzatz equations for the spectrum of this system and its gl(n) generalizations.

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