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

Abstract

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.

38 pages, minor revison, LaTex

References in corpus (9)

• Exact solution of the XXZ Gaudin model with generic open boundaries
• R-matrices and Spectrum of Vertex Models based on Superalgebras
• $A_{n-1}$ Gaudin model with open boundaries
• Quasi-classical descendants of disordered vertex models with boundaries
• Algebraic Bethe Ansatz for the Zamolodchikov-Fateev and Izergin-Korepin models with open boundary conditions
• $sl(2|1{)}^{(2)}$ Gaudin Magnet and its associated Knizhnik-Zamolodchikov equation
• Algebraic Bethe Ansatz solutions for the $sl(2|1{)}^{(2)}$ and $osp(2|1)$ models with boundary terms
• Gaudin magnet with impurity and its generalized Knizhnik-Zamolodchikov equation
• $A_2^{(2)}$ Gaudin model and its associated Knizhnik-Zamolodchikov equation