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

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

1999-02-08

arxiv.org/abs/hep-th/9902053v2

J.Phys. A32 (1999) L183-L188

Physics

High Energy Physics

High Energy Physics - Theory

8 pages, Latex 2e

Scientific paper

10.1088/0305-4470/32/16/002

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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