Geodesic
The Minimal $LM(3,4)$ Lattice Model and the Two-Dimensional Ising Model with Cylindrical Boundary Conditions
Teoretičeskaâ i matematičeskaâ fizika, Tome 126 (2001) no. 1, pp. 63-83 Cet article a éte moissonné depuis la source Math-Net.Ru

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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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     author = {A. A. Belavin and R. A. Usmanov},
     title = {The {Minimal} $LM(3,4)$ {Lattice} {Model} and the {Two-Dimensional} {Ising} {Model} with {Cylindrical} {Boundary} {Conditions}},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
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A. A. Belavin; R. A. Usmanov. The Minimal $LM(3,4)$ Lattice Model and the Two-Dimensional Ising Model with Cylindrical Boundary Conditions. Teoretičeskaâ i matematičeskaâ fizika, Tome 126 (2001) no. 1, pp. 63-83. http://geodesic.mathdoc.fr/item/TMF_2001_126_1_a1/

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