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Spectral determinants for Schroedinger equation and Q-operators of Conformal Field Theory
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Relation between the vacuum eigenvalues of CFT Q-operators and spectral determinants of one-dimensional Schroedinger operator with homogeneous potential, recently conjectured by Dorey and Tateo for special value of Virasoro vacuum parameter p, is proven to hold, with suitable modification of the Schroedinger operator, for all values of p.
Forward citations
Cited by 8 Pith papers
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Time-Dependent Integrability from Gauge Theory, I
Spacetime-dependent 4d Chern-Simons theory generates time-dependent integrable field theories whose allowed time dependence coincides with one-loop RG flow while preserving Lax integrability.
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Modular Properties of Symplectic Fermion Generalised Gibbs Ensemble
Exact modular S-transforms are derived for GGEs in the symplectic fermion theory, agreeing with conjectures for the W3 zero mode and mirroring free-fermion results for the KdV subset.
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On the Integrable Structure of the SU(2) Wess-Zumino-Novikov-Witten Model
A new family of commuting local conserved charges in the SU(2) WZNW model is constructed for the first four spins and shown to agree with Bethe-ansatz and ODE/quantum-field-theory predictions.
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From classical Lax ODEs to quantum integrable theories: the moduli
The paper derives moduli-modified functional relations for Wronskians of a classical Lax ODE that identify quantum states, produce Y-systems and TBA equations without scattering theory, and prove two Zamolodchikov con...
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Integrals of motion in $WE_6$ CFT and the ODE/IM correspondence
The WKB periods of the E_6^(1) linear problem agree with the integrals of motion of the W E6 CFT on highest-weight states up to spin 6 under the standard parameter dictionary.
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On W-algebras and ODE/IM correspondence
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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Integrable Spherical Brane Model at Large $N$
Large-N saddle-point calculation confirms the Lukyanov-Zamolodchikov conjecture for boundary free energy in the spherical brane model to O(1/N) and connects it to the RG running of the coupling g.
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Template masks for 4D-STEM
A template-to-mask correlation imaging method for 4D-STEM is claimed in the abstract, but the supplied full text is an unrelated hep-th paper, leaving the claim unverifiable.
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