English

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

solv-int 2009-10-31 v2 High Energy Physics - Theory Exactly Solvable and Integrable Systems

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.

Keywords

Cite

@article{arxiv.solv-int/9809003,
  title  = {Osp(1|2) Off-shell Bethe Ansatz Equations},
  author = {A. Lima-Santos},
  journal= {arXiv preprint arXiv:solv-int/9809003},
  year   = {2009}
}

Comments

21 pages, LaTex, no significant changes