dorsal/arxiv
View SchemaQuantum Deformations of Conformal Algebras Introducing Fundamental Mass Parameters
| Authors | Jerzy Lukierski, Pierre Minnaert, Marek Mozrzymas |
|---|---|
| Categories | |
| ArXiv ID | q-alg/9507005 |
| URL | https://arxiv.org/abs/q-alg/9507005 |
| DOI | 10.1016/0370-2693(96)01604-8 |
Abstract
We consider new class of classical r-matrices for D=3 and D=4 conformal Lie algebras. These r-matrices do satisfy the classical Yang-Baxter equation and as two-tensors belong to the tensor product of Borel subalgebra. In such a way we generalize the lowest order of known nonstandard quantum deformation of sl(2) to the Lie algebras sp(4) = so(5) and sl(4) = so(6). As an exercise we interpret nonstandard deformation of sl(2) as describing quantum D=1 conformal algebra with fundamental mass parameter. Further we describe the D=3 and D=4 conformal bialgebras with deformation parameters equal to the inverse of fundamental masses. It appears that for D=4 the deformation of the Poincare algebra sector coincides with "null plane" quantum Poincare algebra.
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"abstract": "We consider new class of classical r-matrices for D=3 and D=4 conformal Lie\nalgebras. These r-matrices do satisfy the classical Yang-Baxter equation and as\ntwo-tensors belong to the tensor product of Borel subalgebra. In such a way we\ngeneralize the lowest order of known nonstandard quantum deformation of sl(2)\nto the Lie algebras sp(4) = so(5) and sl(4) = so(6). As an exercise we\ninterpret nonstandard deformation of sl(2) as describing quantum D=1 conformal\nalgebra with fundamental mass parameter. Further we describe the D=3 and D=4\nconformal bialgebras with deformation parameters equal to the inverse of\nfundamental masses. It appears that for D=4 the deformation of the Poincare\nalgebra sector coincides with \"null plane\" quantum Poincare algebra.",
"arxiv_id": "q-alg/9507005",
"authors": [
"Jerzy Lukierski",
"Pierre Minnaert",
"Marek Mozrzymas"
],
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"q-alg",
"math.QA"
],
"doi": "10.1016/0370-2693(96)01604-8",
"title": "Quantum Deformations of Conformal Algebras Introducing Fundamental Mass Parameters",
"url": "https://arxiv.org/abs/q-alg/9507005"
},
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