A2(2) Gaudin model and its associated Knizhnik-Zamolodchikov equation
V Kurak, A Lima-Santos
Abstract
The semiclassical limit of the algebraic Bethe Ansatz for the Izergin-Korepin 19-vertex model is used to solve the theory of Gaudin models associated with the twisted A2(2) R-matrix. We find the spectra and eigenvectors of the N-1 independents 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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