The algebraic Bethe ansatz for rational braid-monoid lattice models
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Publication:1362742
DOI10.1016/S0550-3213(97)00342-8zbMATH Open0933.82016arXivhep-th/9703023OpenAlexW2056295555MaRDI QIDQ1362742
Author name not available (Why is that?)
Publication date: 6 August 1997
Published in: (Search for Journal in Brave)
Abstract: In this paper we study isotropic integrable systems based on the braid-monoid algebra. These systems constitute a large family of rational multistate vertex models and are realized in terms of the B_n, C_n and D_n Lie algebra and by the superalgebra Osp(n|2m). We present a unified formulation of the quantum inverse scattering method for many of these lattice models. The appropriate fundamental commutation rules are found, allowing us to construct the eigenvectors and the eigenvalues of the transfer matrix associated to the B_n, C_n, D_n, Osp(2n-1|2), Osp(2|2n-2), Osp(2n-2|2) and Osp(1|2n) models. The corresponding Bethe Ansatz equations can be formulated in terms of the root structure of the underlying algebra.
Full work available at URL: https://arxiv.org/abs/hep-th/9703023
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