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

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

2003-08-07

arxiv.org/abs/nlin/0308011v1

Nonlinear Sciences

Exactly Solvable and Integrable Systems

21 pages

Scientific paper

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.

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