Fusion and analytical Bethe ansatz for the AN-1(1) open spin chain

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Abstract

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.
Original languageEnglish
JournalJournal of Physics A: Mathematical and General
Volume33
Issue number26
DOIs
Publication statusPublished - 7 Jul 2000

Keywords

  • hep-th

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