On spectrum of ILW hierarchy in conformal field theory

Understand

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.