Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
1993-09-26
Int.J.Mod.Phys.A9:5215-5266,1994
Physics
High Energy Physics
High Energy Physics - Theory
58 pages, 16 eps figures, harvamc.tex epsf.tex (minor corrections, no change in the result)
Scientific paper
10.1142/S0217751X94002119
We study a system of functional relations among a commuting family of row-to-row transfer matrices in solvable lattice models. The role of exact sequences of the finite dimensional quantum group modules is clarified. We find a curious phenomenon that the solutions of those functional relations also solve the so-called thermodynamic Bethe ansatz equations in the high temperature limit for $sl(r+1)$ models. Based on this observation, we propose possible functional relations for models associated with all the simple Lie algebras. We show that these functional relations certainly fulfill strong constraints coming from the fusion procedure analysis. The application to the calculations of physical quantities will be presented in the subsequent publication.
Kuniba Atsuo
Nakanishi Takeshi
Suzuki Joe
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