Abstract

The semiclassical limit of the algebraic Bethe Ansatz method is used to solve the theory of Gaudin models for the s l ( 2 | 1 ) ( 2 ) R-matrix. We find the spectra and eigenvectors of the N − 1 independent Gaudin Hamiltonians. We also use the off-shell Bethe Ansatz method to show how the off-shell Gaudin equation solves the associated trigonometric system of Knizhnik–Zamolodchikov equations.

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