Generalization of the U_q(gl(N)) algebra and staggered models
| dc.creator | Arnaudon, D. | |
| dc.creator | Sedrakyan, A. | |
| dc.creator | Sedrakyan, T. | |
| dc.creator | Sorba, P. | |
| dc.date | 2001-06-15 | |
| dc.date.accessioned | 2026-07-07T09:26:55Z | |
| dc.date.available | 2026-07-07T09:26:55Z | |
| dc.description | 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. | |
| dc.description | 12 pages ; Latex2e | |
| dc.identifier | https://arxiv.org/abs/hep-th/0106139 | |
| dc.identifier | http://arxiv.org/abs/hep-th/0106139 | |
| dc.identifier | Lett.Math.Phys. 58 (2001) 209-222 | |
| dc.identifier | doi:10.1023/A:1014504526934 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/156925 | |
| dc.subject | High Energy Physics - Theory | |
| dc.subject | Strongly Correlated Electrons | |
| dc.title | Generalization of the U_q(gl(N)) algebra and staggered models | |
| dc.type | text |