The Minimal LM(3,4) Lattice Model and the Two-Dimensional Ising Model with Cylindrical Boundary Conditions

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作者
A. A. Belavin
R. A. Usmanov
机构
[1] Landau Institute of Theoretical Physics,
[2] RAS,undefined
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Boundary Condition; Open Boundary; Lattice Model; Ising Model; Quantum Group;
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摘要
We consider an integrable XXZ model with some special open boundary conditions and one-dimensional Ising quantum chains with four different boundary conditions. We show that each of the Ising chains coincides with the minimal LM(3,4) lattice model resulting from the quantum group reduction of the XXZ model and the number of nodes in the former model is determined by the type of boundary conditions. The relation between the two-dimensional Ising model with four different types of boundary conditions and the LM(3,4) model is established.
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页码:48 / 65
页数:17
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