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arxiv: hep-th/9902053 · v2 · submitted 1999-02-08 · ✦ hep-th · cond-mat

Anharmonic Oscillators, Spectral Determinant and Short Exact Sequence of affine U_q(sl₂)

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