Integrable Vertex Models with General Twists

2005/12/21 by M.J. Martins, Martins, M. J.
Physics and Astronomy · #Exactly Solvable and Integrable Systems (nlin.SI) #FOS: Physical sciences #Opinion Dynamics and Social Influence

paper · pdf · doi:10.48550/arxiv.nlin/0512063

openalex publication_date 2005/12/21 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We review recent progress towards the solution of exactly solved isotropic vertex models with arbitrary toroidal boundary conditions. Quantum space transformations make it possible the diagonalization of the corresponding transfer matrices by means of the quantum inverse scattering method. Explicit expressions for the eigenvalues and Bethe ansatz equations of the twisted isotropic spin chains based on the B_n, D_n and C_n Lie algebras are presented. The applicability of this approach to the eight vertex model with non-diagonal twists is also discussed.

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