Nested off-diagonal Bethe ansatz and exact solutions of the su(n) spin chain with generic integrable boundaries

Abstract

The nested off-diagonal Bethe ansatz method is proposed to diagonalize multi-component integrable models with generic integrable boundaries. As an example, the exact solutions of the su(n)-invariant spin chain model with both periodic and non-diagonal boundaries are derived by constructing the nested T-Q relations based on the operator product identities among the fused transfer matrices and the asymptotic behavior of the transfer matrices.

Published version

References in corpus (5)

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• Non-Abelian $SU(3{)}_k$ anyons: inversion identities for higher rank face models
• $T$-$Q$ relations for the integrable two-species asymmetric simple exclusion process with open boundaries
• On the complete-spectrum characterization of quantum integrable spin chains via the inhomogeneous T-Q relation
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• Exact solution of the $sp(4)$ integrable spin chain with generic boundaries
• A representation basis for the quantum integrable spin chain associated with the su(3) algebra
• Bethe ansatz solution of the ${\tau }_2$-model with arbitrary boundary fields
• T-W relation and free energy of the Heisenberg chain at a finite temperature
• Exact solution of the quantum integrable model associated with the twisted $D_3^{(2)}$ algebra
• On the Bethe states of the one-dimensional supersymmetric t-J model with generic open boundaries
• Bethe/Gauge Correspondence for $A_N$ Spin Chains with Integrable Boundaries
• Spectrum of the transfer matrices of the spin chains associated with the $A_3^{(2)}$ Lie algebra