We study the quantum group symmetry of the ${\bb Z}_{N}$ symmetric lattice field theory, which is viewed as a discretization of the $\widehat{s\ell (N)}$ affine Toda field theory. We reveal the quantum group structure, and construct explicitly the quantum local integrals of motion by use of the quantum dilogarithm function.

Journal of the Physical Society of JapanJan 15, 19994 citations

arXiv:hep-th/9702157

Finite Groups and Quantum Yang-Baxter Equation

Varga, Peter

Published Feb 21, 1997• 0 citations

arXiv HTML PDF

Abstract

We construct integrable modifications of 2d lattice gauge theories with finite gauge groups.

DOI: 10.48550/arxiv.hep-th/9702157

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We study the quantum group symmetry of the ${\bb Z}_{N}$ symmetric lattice field theory, which is viewed as a discretization of the

\widehat{s\ell (N)}

affine Toda field theory. We reveal the quantum group structure, and construct explicitly the quantum local integrals of motion by use of the quantum dilogarithm function.