Gaudin magnet with impurity and its generalized Knizhnik-Zamolodchikov equation

Details Gaudin magnet with impurity and its generalized Knizhnik-Zamolodchikov equation Gaudin magnet with impurity and its generalized Knizhnik-Zamolodchikov equation

2005-04-28

arxiv.org/abs/nlin/0504060v4

Int.J.Mod.Phys.B20:2175-2188,2006

Nonlinear Sciences

Exactly Solvable and Integrable Systems

13 pages, LaTex, minor typos corrected

Scientific paper

10.1142/S0217979206034595

This work is concerned with the formulation of the boundary quantum inverse scattering method for the xxz Gaudin magnet coupled to boundary impurities with arbitrary exchange constants. The Gaudin magnet is diagonalized by taking a quasi-classical limit of the inhomogeneous lattice. Using the method proposed by Babujian, the integral representation for the solution of the Knizhnik-Zamolodchikov equation is explictly constructed and its rational limit discussed.

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