On spectrum of ILW hierarchy in conformal field theory
A. V. Litvinov
TL;DR
This paper explores the spectrum of the ILW hierarchy in conformal field theory, deriving Bethe ansatz equations for the system and its generalizations, bridging previous models.
Contribution
It introduces a unified framework for the ILW hierarchy spectrum in conformal field theory, including Bethe ansatz equations and generalizations to gl(n).
Findings
Derived Bethe ansatz equations for the ILW hierarchy spectrum.
Connected different models within the ILW hierarchy.
Extended the analysis to gl(n) generalizations.
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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