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

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.

15 pages, proceeding for Dubna International SQS 09 Workshop

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Cited by in corpus (10)

• The half-infinite XXZ chain in Onsager's approach
• Eigenvectors of open XXZ and ASEP models for a class of non-diagonal boundary conditions
• Algebraic Bethe ansatz for open XXX model with triangular boundary matrices
• Generalized coordinate Bethe ansatz for non diagonal boundaries
• Form factors of local operators in supersymmetric quantum integrable models
• Nested algebraic Bethe ansatz for orthogonal and symplectic open spin chains
• On boundary super algebras
• New reflection matrices for the U_q(gl(m|n)) case
• Nested algebraic Bethe ansatz for open spin chains with even twisted Yangian symmetry
• Scattering matrix for a general gl(2) spin chain