Integrable SU(N) vertex models with general toroidal boundary conditions

Abstract

We formulate the algebraic Bethe ansatz solution of the SU(N) vertex models with rather general non-diagonal toroidal boundary conditions. The reference states needed in the Bethe ansatz construction are found by performing gauge transformations on the Boltzmann weights in the manner of Baxter [1]. The structure of the transfer matrix eigenvectors consists of multi-particle states over such pseudovacuums and the corresponding eigenvalues depend crucially on the boundary matrix eigenvalues. We also discuss for N=2 the peculiar case of twisted boundaries associated to singular matrices.

21 pages

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• Modified Algebraic Bethe Ansatz: Twisted XXX Case
• Integrable spin-boson interaction in the Tavis-Cummings model from a generic boundary twist
• The entropy of the six-vertex model with variety of different boundary conditions
• Mixed integrable SU(N) vertex model with arbitrary twists
• Bethe States of the integrable spin-s chain with generic open boundaries
• Domain-wall boundaries through non-diagonal twists in the six-vertex model