Solutions of quantum Yang-Baxter equation related to $U_q (gl(2))$ algebra and associated integrable lattice models
| dc.creator | Basu-Mallick, B. | |
| dc.date | 1993-12-27 | |
| dc.date.accessioned | 2026-07-07T09:14:12Z | |
| dc.date.available | 2026-07-07T09:14:12Z | |
| dc.description | A coloured braid group representation (CBGR) is constructed with the help of some modified universal ${\cal R}$-matrix, associated to $U_q(gl(2))$ quantised algebra. Explicit realisation of Faddeev-Reshetikhin-Takhtajan (FRT) algebra is built up for this CBGR and new solutions of quantum Yang-Baxter equation are subsequently found through Yang-Baxterisation of FRT algebra. These solutions are interestingly related to nonadditive type quantum $R$-matrix and have a nontrivial $q\rightarrow 1$ limit. Lax operators of several concrete integrable models, which may be considered as some `coloured' extensions of lattice nonlinear Schr${\ddot {\rm o}}$dinger model and Toda chain, are finally obtained by taking different reductions of such solutions. | |
| dc.description | 17 pages | |
| dc.identifier | https://arxiv.org/abs/hep-th/9312195 | |
| dc.identifier | http://arxiv.org/abs/hep-th/9312195 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/152588 | |
| dc.subject | High Energy Physics - Theory | |
| dc.subject | Quantum Algebra | |
| dc.title | Solutions of quantum Yang-Baxter equation related to $U_q (gl(2))$ algebra and associated integrable lattice models | |
| dc.type | text |