On spectrum of ILW hierarchy in conformal field theory II: coset CFT's

Abstract

We study integrable structure of the coset conformal field theory and define the system of Integrals of Motion which depends on external parameters. This system can be viewed as a quantization of the ILW type hierarchy. We propose a set of Bethe anzatz equations for its spectrum.

11 pages

References in corpus (2)

• Bases in coset conformal field theory from AGT correspondence and Macdonald polynomials at the roots of unity
• Six-dimensional supersymmetric gauge theories, quantum cohomology of instanton moduli spaces and gl(N) Quantum Intermediate Long Wave Hydrodynamics

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