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

Anastasia Doikou

doi:10.1088/0305-4470/33/26/303

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

Anastasia Doikou

Research output: Contribution to journal › Article › peer-review

17 Citations (Scopus)

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 language	English
Journal	Journal of Physics A: Mathematical and General
Volume	33
Issue number	26
DOIs	https://doi.org/10.1088/0305-4470/33/26/303
Publication status	Published - 7 Jul 2000

Keywords

hep-th

Access to Document

10.1088/0305-4470/33/26/303

Cite this

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title = "Fusion and analytical Bethe ansatz for the AN-1(1) open spin chain",

abstract = "We generalise the fusion procedure for the \$A\_\{\textbackslash{}n-1\}\textasciicircum{}\{(1)\}\$ open spin chain (\$\textbackslash{}n>2\$) and we show that the transfer matrix satisfies a crossing property. We use these results to solve the \$A\_\{\textbackslash{}n-1\}\textasciicircum{}\{(1)\}\$ open spin chain with \$U\_\{q\} (SU(\textbackslash{}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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AU - Doikou, Anastasia

N1 - 14 pages, LaTeX

PY - 2000/7/7

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N2 - 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.

AB - 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.

KW - hep-th

U2 - 10.1088/0305-4470/33/26/303

DO - 10.1088/0305-4470/33/26/303

M3 - Article

SN - 0305-4470

VL - 33

JO - Journal of Physics A: Mathematical and General

JF - Journal of Physics A: Mathematical and General

IS - 26