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Off-Shell Bethe Ansatz Equation for $osp(2|1)$ Gaudin Magnets

A. Lima-Santos·W. Utiel
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Abstract

The semi-classical limit of the algebraic Bethe Ansatz method is used to solve the theory of Gaudin models. Via the off-shell method we find the spectra and eigenvectors of the N-1 independent Gaudin Hamiltonians with symmetry osp(2|1). We also show how the off-shell Gaudin equation solves the trigonometric Knizhnik- Zamolodchikov equation.

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A. Lima-Santos, W. Utiel. 2000-08-01. Off-Shell Bethe Ansatz Equation for $osp(2|1)$ Gaudin Magnets. https://doi.org/10.1016/s0550-3213(00)00752-5

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