The algebraic Bethe ansatz for rational braid-monoid lattice models

Details The algebraic Bethe ansatz for rational braid-monoid lattice models The algebraic Bethe ansatz for rational braid-monoid lattice models

1997-03-04

arxiv.org/abs/hep-th/9703023v1

Nucl.Phys. B500 (1997) 579-620

Physics

High Energy Physics

High Energy Physics - Theory

plain latex, 48 pages, 1 figure (under request)

Scientific paper

10.1016/S0550-3213(97)00342-8

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.

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