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Anharmonic Oscillators, Spectral Determinant and Short Exact Sequence of affine U_q(sl_2)

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arxiv hep-th/9902053 v2 pith:6GUDRLLO submitted 1999-02-08 hep-th cond-mat

J. Suzuki(University of Tokyo at Komaba) This is my paper
classification hep-thcond-mat
keywords anharmonicdeterminantexactsequencespectralaffineconjecturesconnection
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abstract

We prove one of conjectures, raised by Dorey and Tateo in the connection among the spectral determinant of anharmonic oscillator and vacuum eigenvalues of transfer matrices in field theory and statistical mechanics. The exact sequence of $U_q(\hat{sl}_2)$ plays a fundamental role in the proof.

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Cited by 3 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score.

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

    hep-th 2026-04 unverdicted novelty 7.0 of 10

    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.

  2. From classical Lax ODEs to quantum integrable theories: the moduli

    hep-th 2026-05 unverdicted novelty 6.0 of 10

    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...

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

    hep-th 2026-04 accept novelty 5.5 of 10

    WKB periods of the fully diagonalized C(2)^{(2)} Lax operator coincide with NS-sector local IoM eigenvalues of N=1 SCFT up to sixth order under a fixed parameter dictionary.

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