dorsal/arxiv
View SchemaNew Integrable Models from Fusion
| Authors | Z. Maassarani |
|---|---|
| Categories | |
| ArXiv ID | solv-int/9903003 |
| URL | https://arxiv.org/abs/solv-int/9903003 |
| DOI | 10.1088/0305-4470/32/27/310 |
| Journal | J.Phys.A32:5123-5132,1999 |
Abstract
Integrable multistate or multiflavor/color models were recently introduced. They are generalizations of models corresponding to the defining representations of the U_q(sl(m)) quantum algebras. Here I show that a similar generalization is possible for all higher dimensional representations. The R-matrices and the Hamiltonians of these models are constructed by fusion. The sl(2) case is treated in some detail and the spin-0 and spin-1 matrices are obtained in explicit forms. This provides in particular a generalization of the Fateev-Zamolodchikov Hamiltonian.
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"abstract": "Integrable multistate or multiflavor/color models were recently introduced.\nThey are generalizations of models corresponding to the defining\nrepresentations of the U_q(sl(m)) quantum algebras. Here I show that a similar\ngeneralization is possible for all higher dimensional representations. The\nR-matrices and the Hamiltonians of these models are constructed by fusion. The\nsl(2) case is treated in some detail and the spin-0 and spin-1 matrices are\nobtained in explicit forms. This provides in particular a generalization of the\nFateev-Zamolodchikov Hamiltonian.",
"arxiv_id": "solv-int/9903003",
"authors": [
"Z. Maassarani"
],
"categories": [
"solv-int",
"cond-mat",
"math-ph",
"math.MP",
"nlin.SI"
],
"doi": "10.1088/0305-4470/32/27/310",
"journal_ref": "J.Phys.A32:5123-5132,1999",
"title": "New Integrable Models from Fusion",
"url": "https://arxiv.org/abs/solv-int/9903003"
},
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