Vertex Models with Alternating Spins

Details Vertex Models with Alternating Spins Vertex Models with Alternating Spins

1998-11-30

arxiv.org/abs/math/9811175v3

Mathematics

Quantum Algebra

54 pages, uses epic.sty and texdraw.sty (references added)

Scientific paper

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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