$sl(2|1)^{(2)}$ Gaudin Magnet and its associated Knizhnik-Zamolodchikov equation

Details $sl(2|1)^{(2)}$ Gaudin Magnet and its associated Knizhnik-Zamolodchikov equation $sl(2|1)^{(2)}$ Gaudin Magnet and its associated Knizhnik-Zamolodchikov equation

2004-06-14

arxiv.org/abs/nlin/0406025v1

Nucl.Phys.B701:497-515,2004

Nonlinear Sciences

Exactly Solvable and Integrable Systems

20 pages, LaTex

Scientific paper

10.1016/j.nuclphysb.2004.09.022

The semiclassical limit of the algebraic Bethe Ansatz method is used to solve
the theory of Gaudin models for the $sl(2|1)^{(2)}$ R-matrix. We find the
spectra and eigenvectors of the $N-1$ independents Gaudin Hamiltonians. We also
use the off-shell Bethe Ansatz method to show how the off-shell Gaudin equation
solves the associated trigonometric system of Knizhnik-Zamolodchikov equations.

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