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arXiv · 1001.1314

Nested Bethe ansatz for Y(gl(n)) open spin chains with diagonal boundary conditions

S. Belliard·E. Ragoucy
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Abstract

In this proceeding we present the nested Bethe ansatz for open spin chains of XXX-type, with arbitrary representations (i.e. `spins') on each site of the chain and diagonal boundary matrices $(K^+(u),K^-(u))$. The nested Bethe anstaz applies for a general $K^-(u)$, but a particular form of the $K^+(u)$ matrix. We give the eigenvalues, Bethe equations and the form of the Bethe vectors for the corresponding models. The Bethe vectors are expressed using a trace formula.

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S. Belliard, E. Ragoucy. 2010-01-08. Nested Bethe ansatz for Y(gl(n)) open spin chains with diagonal boundary conditions. https://doi.org/10.1134/s1547477111030058

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