Multiplicity A_m Models

Z. Maassarani

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Multiplicity A_m Models

Z. Maassarani

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Abstract

Models generalizing the su(2) XX spin-chain were recently introduced. These XXC models also have an underlying su(2) structure. Their construction method is shown to generalize to the chains based on the fundamental representations of the A_m Lie algebras. Integrability of the new models is shown in the context of the quantum inverse scattering method. Their R-matrix is found and shown to yield a representation of the Hecke algebra. The diagonalization of the transfer matrices is carried out using the algebraic Bethe Ansatz. I comment on eventual generalizations and possible links to reaction-diffusion processes.

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Z. Maassarani. 1998-10-15. Multiplicity A_m Models. https://arxiv.org/abs/solv-int/9805009

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