dorsal/arxiv
View SchemaShadow of noncommutativity
| Authors | Michel Dubois-Violette, John Madore, Richard Kerner |
|---|---|
| Categories | |
| ArXiv ID | q-alg/9702030 |
| URL | https://arxiv.org/abs/q-alg/9702030 |
| DOI | 10.1063/1.532376 |
Abstract
We analyse the structure of the $\kappa=0$ limit of a family of algebras $A_\kappa$ describing noncommutative versions of space-time, with $\kappa$ a parameter of noncommutativity. Assuming the Poincar\'e covariance of the $\kappa=0$ limit, we show that, besides the algebra of functions on Minkowski space, $A_0$ must contain a nontrivial extra factor $A^I_0$ which is Lorentz covariant and which does not commute with the functions whenever it is not commutative. We give a general description of the possibilities and analyse some representative examples.
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"abstract": "We analyse the structure of the $\\kappa=0$ limit of a family of algebras\n$A_\\kappa$ describing noncommutative versions of space-time, with $\\kappa$ a\nparameter of noncommutativity. Assuming the Poincar\\\u0027e covariance of the\n$\\kappa=0$ limit, we show that, besides the algebra of functions on Minkowski\nspace, $A_0$ must contain a nontrivial extra factor $A^I_0$ which is Lorentz\ncovariant and which does not commute with the functions whenever it is not\ncommutative. We give a general description of the possibilities and analyse\nsome representative examples.",
"arxiv_id": "q-alg/9702030",
"authors": [
"Michel Dubois-Violette",
"John Madore",
"Richard Kerner"
],
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"doi": "10.1063/1.532376",
"title": "Shadow of noncommutativity",
"url": "https://arxiv.org/abs/q-alg/9702030"
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