$osp(1|2)$ off-shell Bethe ansatz equation with boundary terms

Details $osp(1|2)$ off-shell Bethe ansatz equation with boundary terms $osp(1|2)$ off-shell Bethe ansatz equation with boundary terms

2006-10-22

arxiv.org/abs/nlin/0610054v2

J.Stat.Mech.0612:P12018,2006

Nonlinear Sciences

Exactly Solvable and Integrable Systems

38 pages, minor revison, LaTex

Scientific paper

10.1088/1742-5468/2006/12/P12018

This work is concerned with the quasi-classical limit of the boundary quantum inverse scattering method for the $osp(1|2)$ vertex model with diagonal $K$-matrices. In this limit Gaudin's Hamiltonians with boundary terms are presented and diagonalized. Moreover, integral representations for correlation functions are realized to be solutions of the trigonometric Knizhnik-Zamoldchikov equations.

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