Vertex Models with Alternating Spins

Abstract

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 $U_q({\widehat{sl}}_2)$ crystals with alternating dimensions is determined. Upon this basis the vertex models are formulated and then solved by means of $U_q({\widehat{sl}}_2)$ intertwiners.

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

References in corpus (4)

• Critical Behaviour of integrable mixed spins chains
• Quantized Affine Algebras and Crystals with Head
• A coset-type construction for the deformed Virasoro algebra
• The Monodromy Matrices of the XXZ Model in the Infinite Volume Limit

Cited by in corpus (5)

• Trace Construction of a Basis for the Solution Space of sl_N qKZ Equation
• Symmetry protected topological phases beyond groups: The q-deformed bilinear-biquadratic spin chain
• Finite Crystals and Paths
• An integrable $U_q(\widehat{gl}(2|2){)}_1$-Model: Corner Transfer Matrices and Young Skew Diagrams
• Impurity Operators in RSOS Models