Quantum Group Approach to a soluble vertex model with generalized ice-rule
Abstract
Using the representation of the quantum group (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.
Cite
@article{arxiv.hep-th/9510032,
title = {Quantum Group Approach to a soluble vertex model with generalized ice-rule},
author = {L. Sow Ciré and T. T. Truong},
journal= {arXiv preprint arXiv:hep-th/9510032},
year = {2015}
}
Comments
LaTeX files. 19 pages. Figures included using LaTeX format. Uses uufiles