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

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

2010-01-08

arxiv.org/abs/1001.1314v2

Physics of Particules and Nuclei Letters 3 (2011) p 218

Physics

Mathematical Physics

15 pages, proceeding for Dubna International SQS 09 Workshop

Scientific paper

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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