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On spectrum of ILW hierarchy in conformal field theory

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Abstract

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.

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Authors and Affiliations

  1. Landau Institute for Theoretical Physics, 142432, Chernogolovka, Russia

    A. V. Litvinov

  2. NHETC, Department of Physics and Astronomy, Rutgers University, Piscataway, NJ, 08855-0849, U.S.A.

    A. V. Litvinov

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  1. A. V. Litvinov
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Correspondence to A. V. Litvinov.

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ArXiv ePrint: 1307.8094

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Litvinov, A.V. On spectrum of ILW hierarchy in conformal field theory. J. High Energ. Phys. 2013, 155 (2013). https://doi.org/10.1007/JHEP11(2013)155

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