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arXiv · hep-th/9510032

Quantum Group Approach to a soluble vertex model with generalized ice-rule

L. Sow Ciré·T. T. Truong
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Abstract

Using the representation of the quantum group $SL_q$(2) by the Weyl ope\-ra\-tors of the canonical commutation relations in quantum mechanics, we construct and solve a new vertex model on a square lattice. Random variables on horizontal bonds are Ising variables, and those on the vertical bonds take half positive integer values. The vertices is subjected to a genera\-li\-zed form of the so-called ``ice-rule'', its property are studied in details and its free energy calculated with the method of quantum inverse scattering. Remarkably in analogy with the usual six-vertex model, there exists a ``Free-Fermion'' limit with a novel rich operator structure. The existing algebraic structure suggests a possible connection with a lattice neutral plasma of charges, via the Fermion-Boson correspondence.

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L. Sow Ciré, T. T. Truong. 1995-10-05. Quantum Group Approach to a soluble vertex model with generalized ice-rule. https://doi.org/10.1142/s0217751x96000936

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