Baxterization for the dynamical Yang-Baxter equation
Representation Theory
2024-01-23 v2 Mathematical Physics
math.MP
Quantum Algebra
Exactly Solvable and Integrable Systems
Abstract
The Baxterization process for the dynamical Yang-Baxter equation is studied. We introduce the local dynamical Hecke ,Temperley-Lieb and Birman-Murakami-Wenzl operators, then by inserting spectral parameters, from each representation of these operators, we get dynamical R matrix under some conditions. As applications, we reformulate trigonometric degeneration of elliptic quantum group representations and also get dynamical R matrix for critical ADE integrable lattice models. Through Baxterization, we construct some one dimensional integrable systems that are dynamical version of the Heisenberg spin chain.
Keywords
Cite
@article{arxiv.2310.04728,
title = {Baxterization for the dynamical Yang-Baxter equation},
author = {Muze Ren},
journal= {arXiv preprint arXiv:2310.04728},
year = {2024}
}
Comments
Corrected many typos, added the hyperbolic and affine ADE cases