Off-shell Bethe ansatz equation for osp(2∣1) Gaudin magnets Original Research Article

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