Vertex-IRF transformations and quantization of dynamical r-matrices
Quantum Algebra
2007-05-23 v1
Abstract
Motivated by the correspondence between the vertex and IRF models in statistical mechanics, we define and study a notion of vertex-IRF transformation for dynamical twists that generalizes a usual gauge transformation. We use vertex-IRF transformations to quantize all completely degenerate dynamical r-matrices on finite-dimensional Lie algebras.
Cite
@article{arxiv.math/0103079,
title = {Vertex-IRF transformations and quantization of dynamical r-matrices},
author = {Pavel Etingof and Dmitri Nikshych},
journal= {arXiv preprint arXiv:math/0103079},
year = {2007}
}
Comments
13 pages, ams-latex