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

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arxiv 1001.1314 v2 pith:ZAKFTVF6 submitted 2010-01-08 math-ph math.MP

S. Belliard , E. Ragoucy This is my paper · ORCID
classification math-phmath.MP
keywords bethenestedansatzboundarychainsdiagonalformopen
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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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  1. The boundary-driven multispecies harmonic process

    math-ph 2026-07 conditional novelty 6.0 of 10

    A multispecies harmonic process with boundary reservoirs is introduced and proven Yang-Baxter integrable via a factorized R-matrix and open-chain K-matrices, with three dual processes.

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