NEW SERIES OF 3D LATTICE INTEGRABLE MODELS
1994 ◽
Vol 09
(31)
◽
pp. 5517-5530
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Keyword(s):
In this paper we present a new series of three-dimensional integrable lattice models with N colors. The case N=2 generalizes the elliptic model of Ref. 8. The weight functions of the models satisfy modified tetrahedron equations with N states and give a commuting family of two-layer transfer matrices. The dependence on the spectral parameters corresponds to the static limit of the modified tetrahedron equations, and weights are parametrized in terms of elliptic functions. The models contain two free parameters: elliptic modulus and additional parameter η. Also, we briefly discuss symmetry properties of weight functions of the models.
2019 ◽
Vol 52
(31)
◽
pp. 315203
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1989 ◽
Vol 04
(10)
◽
pp. 2371-2463
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1992 ◽
Vol 07
(03)
◽
pp. 407-500
◽
1994 ◽
Vol 09
(13)
◽
pp. 2245-2281
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Keyword(s):