Generalization of the U_q(gl(N)) algebra and staggered models
High Energy Physics - Theory
2008-03-17 v1 Strongly Correlated Electrons
Abstract
We develop a technique of construction of integrable models with a Z_2 grading of both the auxiliary (chain) and quantum (time) spaces. These models have a staggered disposition of the anisotropy parameter. The corresponding Yang-Baxter Equations are written down and their solution for the gl(N) case are found. We analyze in details the N=2 case and find the corresponding quantum group behind this solution. It can be regarded as quantum U_{q,B}(gl(2)) group with a matrix deformation parameter qB with (qB)^2=q^2. The symmetry behind these models can also be interpreted as the tensor product of the (-1)-Weyl algebra by an extension of U_q(gl(N)) with a Cartan generator related to deformation parameter -1.
Cite
@article{arxiv.hep-th/0106139,
title = {Generalization of the U_q(gl(N)) algebra and staggered models},
author = {D. Arnaudon and A. Sedrakyan and T. Sedrakyan and P. Sorba},
journal= {arXiv preprint arXiv:hep-th/0106139},
year = {2008}
}
Comments
12 pages ; Latex2e