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$A_{2}^{(2)}$ Gaudin model and its associated Knizhnik-Zamolodchikov equation

V Kurak·A Lima-Santos
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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 $A_{2}^{(2)}$ 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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V Kurak, A Lima-Santos. 2004-11-03. $A_{2}^{(2)}$ Gaudin model and its associated Knizhnik-Zamolodchikov equation. https://doi.org/10.1088/0305-4470%2F38%2F2%2F004

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