Osp(1|2) Off-shell Bethe Ansatz Equations

Details Osp(1|2) Off-shell Bethe Ansatz Equations Osp(1|2) Off-shell Bethe Ansatz Equations

1998-08-31

arxiv.org/abs/solv-int/9809003v2

Nucl. Phys. B543 (1999)499-517

Physics

High Energy Physics

High Energy Physics - Theory

21 pages, LaTex, no significant changes

Scientific paper

10.1016/S0550-3213(98)00861-X

The semiclassical limit of the algebraic quantum inverse scattering method is used to solve the theory of the Gaudin model. Via Off-shell Bethe ansatz equations of an integrable representation of the graded osp(1|2) vertex model we find the spectrum of N-1 independent Hamiltonians of Gaudin. Integral representations of the N-point correlators are presented as solutions of the Knizhnik-Zamolodchikov equation. These results are extended for highest representations of the osp(1|2) Gaudin algebra.

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