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.
Generalized Gibbs Ensemble of 2D CFTs with U(1) Charge from the AGT Correspondence
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Period integrals from the E6 ODE WKB expansion match eigenvalues of WE6 CFT integrals of motion up to sixth order.
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The ODE/IM Correspondence between $C(2)^{(2)}$-type Linear Problems and 2d $\mathcal{N}=1$ SCFT
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.
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Integrals of motion in $WE_6$ CFT and the ODE/IM correspondence
Period integrals from the E6 ODE WKB expansion match eigenvalues of WE6 CFT integrals of motion up to sixth order.