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On spectrum of ILW hierarchy in conformal field theory

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arxiv 1307.8094 v1 pith:Y6TG2SVN submitted 2013-07-30 hep-th math-phmath.MP

A. V. Litvinov This is my paper
classification hep-thmath-phmath.MP
keywords systemconformalfieldspectrumstudiedtheoryanzatzauthor
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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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  1. On W-algebras and ODE/IM correspondence

    hep-th 2025-08 conditional novelty 6.0 of 10

    The eigenvalues of quantum KdV-type charges in Virasoro, W3, and W4 algebras are computed from Bethe roots via WKB periods of Catalan curves, verified against direct CFT diagonalization.

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