Vertex Models with Alternating Spins
classification
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hep-thmath-phmath.MP
keywords
alternatingmodelsvertexspinsbasiscrystalcrystalsdetermined
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The diagonalisation of the transfer matrices of solvable vertex models with alternating spins is given. The crystal structure of (semi-)infinite tensor products of finite-dimensional $U_q(\hat{sl}_2)$ crystals with alternating dimensions is determined. Upon this basis the vertex models are formulated and then solved by means of $U_q(\hat{sl}_2)$ intertwiners.
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