dorsal/arxiv
View SchemaMultiplicity A_m Models
| Authors | Z. Maassarani |
|---|---|
| Categories | |
| ArXiv ID | solv-int/9805009 |
| URL | https://arxiv.org/abs/solv-int/9805009 |
| Journal | Eur. Phys. J. B vol. 7 (1999) 627-633 - Erratum: vol. 9 (1999) 371 |
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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"abstract": "Models generalizing the su(2) XX spin-chain were recently introduced. These\nXXC models also have an underlying su(2) structure. Their construction method\nis shown to generalize to the chains based on the fundamental representations\nof the A_m Lie algebras. Integrability of the new models is shown in the\ncontext of the quantum inverse scattering method. Their R-matrix is found and\nshown to yield a representation of the Hecke algebra. The diagonalization of\nthe transfer matrices is carried out using the algebraic Bethe Ansatz. I\ncomment on eventual generalizations and possible links to reaction-diffusion\nprocesses.",
"arxiv_id": "solv-int/9805009",
"authors": [
"Z. Maassarani"
],
"categories": [
"solv-int",
"cond-mat",
"math.QA",
"nlin.SI"
],
"journal_ref": "Eur. Phys. J. B vol. 7 (1999) 627-633 - Erratum: vol. 9 (1999) 371",
"title": "Multiplicity A_m Models",
"url": "https://arxiv.org/abs/solv-int/9805009"
},
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