New Integrable Models from Fusion
solv-int
2008-11-26 v2 Condensed Matter
Mathematical Physics
math.MP
Exactly Solvable and Integrable Systems
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.
Cite
@article{arxiv.solv-int/9903003,
title = {New Integrable Models from Fusion},
author = {Z. Maassarani},
journal= {arXiv preprint arXiv:solv-int/9903003},
year = {2008}
}
Comments
11 pages, Latex. v2: statement concerning symmetries qualified, 3 minor misprints corrected. J. Phys. A (1999) in press