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

Abstract

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.

21 pages, LaTex, no significant changes

References in corpus (5)

• How Algebraic Bethe Ansatz works for integrable model
• The algebraic Bethe ansatz for rational braid-monoid lattice models
• Generating function of correlators in the sl_2 Gaudin model
• U(N) Matrix Difference Equations and a Nested Bethe Ansatz
• Structure constants for the osp(1|2) current algebra

Cited by in corpus (2)

• Off-Shell Bethe Ansatz Equation for $osp(2|1)$ Gaudin Magnets
• Gaudin magnet with impurity and its generalized Knizhnik-Zamolodchikov equation