Anharmonic Oscillators, Spectral Determinant and Short Exact Sequence of affine Uq(sl2)
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 Uq(sl2) plays a fundamental role in the proof.
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