Fusion and Analytical Bethe Ansatz for the $A_{\n-1}^{(1)}$ Open Spin Chain

Details Fusion and Analytical Bethe Ansatz for the $A_{\n-1}^{(1)}$ Open Spin Chain Fusion and Analytical Bethe Ansatz for the $A_{\n-1}^{(1)}$ Open Spin Chain

2000-06-12

arxiv.org/abs/hep-th/0006081v1

J.Phys.A33:4755-4766,2000

Physics

High Energy Physics

High Energy Physics - Theory

14 pages, LaTeX

Scientific paper

10.1088/0305-4470/33/26/303

We generalise the fusion procedure for the $A_{\n-1}^{(1)}$ open spin chain
($\n>2$) and we show that the transfer matrix satisfies a crossing property. We
use these results to solve the $A_{\n-1}^{(1)}$ open spin chain with $U_{q}
(SU(\n))$ symmetry by means of the analytical Bethe ansatz method. Our results
coincide with the known ones obtained by means of the nested Bethe ansatz.

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