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Shadow of noncommutativity

Michel Dubois-Violette·John Madore·Richard Kerner
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Abstract

We analyse the structure of the $κ=0$ limit of a family of algebras $A_κ$ describing noncommutative versions of space-time, with $κ$ a parameter of noncommutativity. Assuming the Poincaré covariance of the $κ=0$ 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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BibTeXRIS

Michel Dubois-Violette, John Madore, Richard Kerner. 1997-03-14. Shadow of noncommutativity. https://doi.org/10.1063/1.532376

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