Solvable lattice models related to the vector representation of classical simple Lie algebras |
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Authors: | Michio Jimbo Tetsuji Miwa Masato Okado |
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Institution: | (1) Research Institute for Mathematical Sciences, Kyoto University, 606 Kyoto, Japan |
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Abstract: | A series of solvable lattice models with face interaction are introduced on the basis of the affine Lie algebraX
n
(1)
=A
n
(1)
,B
n
(1)
,C
n
(1)
,D
n
(1)
. The local states taken on by the fluctuation variables are the dominant integral weights ofX
n
(1)
of a fixed level. Adjacent local states are subject to a condition related to the vector representation ofX
n
. The Boltzmann weights are parametrized by elliptic theta functions and solve the star-triangle relation. |
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Keywords: | |
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