dorsal/arxiv
View Schema(2+1) null-plane quantum Poincar\'e group from a factorized universal $R$-matrix
| Authors | Angel Ballesteros, Francisco J. Herranz |
|---|---|
| Categories | |
| ArXiv ID | q-alg/9605031 |
| URL | https://arxiv.org/abs/q-alg/9605031 |
| DOI | 10.1142/S0217732396001739 |
| Journal | Mod. Phys. Lett. A11 (1996) 1745-1755 |
Abstract
The non-standard (Jordanian) quantum deformations of $so(2,2)$ and (2+1) Poincar\'e algebras are constructed by starting from a quantum $sl(2,\R)$ basis such that simple factorized expressions for their corresponding universal $R$-matrices are obtained. As an application, the null-plane quantum (2+1) Poincar\'e Poisson-Lie group is quantized by following the FRT prescription. Matrix and differential representations of this null-plane deformation are presented, and the influence of the choice of the basis in the resultant $q$-Schr\"odinger equation governing the deformed null plane evolution is commented.
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"abstract": "The non-standard (Jordanian) quantum deformations of $so(2,2)$ and (2+1)\nPoincar\\\u0027e algebras are constructed by starting from a quantum $sl(2,\\R)$ basis\nsuch that simple factorized expressions for their corresponding universal\n$R$-matrices are obtained. As an application, the null-plane quantum (2+1)\nPoincar\\\u0027e Poisson-Lie group is quantized by following the FRT prescription.\nMatrix and differential representations of this null-plane deformation are\npresented, and the influence of the choice of the basis in the resultant\n$q$-Schr\\\"odinger equation governing the deformed null plane evolution is\ncommented.",
"arxiv_id": "q-alg/9605031",
"authors": [
"Angel Ballesteros",
"Francisco J. Herranz"
],
"categories": [
"q-alg",
"math.QA"
],
"doi": "10.1142/S0217732396001739",
"journal_ref": "Mod. Phys. Lett. A11 (1996) 1745-1755",
"title": "(2+1) null-plane quantum Poincar\\\u0027e group from a factorized universal $R$-matrix",
"url": "https://arxiv.org/abs/q-alg/9605031"
},
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