Journal of High Energy Physics

, 2013:155 | Cite as

On spectrum of ILW hierarchy in conformal field theory

  • A. V. LitvinovEmail author


We consider a system of Integrals of Motion in conformal field theory related to the \( \mathfrak{g}\mathfrak{l}(2) \) 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 \( \mathfrak{g}\mathfrak{l}(n) \) generalizations.


Conformal and W Symmetry Integrable Hierarchies Bethe Ansatz Integrable Field Theories 


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Copyright information

© SISSA, Trieste, Italy 2013

Authors and Affiliations

  1. 1.Landau Institute for Theoretical PhysicsChernogolovkaRussia
  2. 2.NHETC, Department of Physics and AstronomyRutgers UniversityPiscatawayU.S.A.

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