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

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 $U_q({\widehat{sl}}_2)$ plays a fundamental role in the proof.

8 pages, Latex 2e

References in corpus (1)

• Airy function (exact WKB results for potentials of odd degree)

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