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arxiv: 1411.3313 · v1 · pith:D66YP4P2new · submitted 2014-11-12 · ✦ hep-th · math-ph· math.MP

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

classification ✦ hep-th math-phmath.MP
keywords conformalcosetfieldhierarchyspectrumsystemtheoryanzatz
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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.

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  1. The ODE/IM Correspondence between $C(2)^{(2)}$-type Linear Problems and 2d $\mathcal{N}=1$ SCFT

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    WKB periods from the C(2)^{(2)} linear problem match eigenvalues of local integrals of motion in the Neveu-Schwarz sector of 2d N=1 SCFTs up to sixth order.