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arXiv · 0808.3062

Dynamical symmetries in noncommutative theories

Ricardo Amorim
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Abstract

In the present work we study dynamical space-time symmetries in noncommutative relativistic theories by using the minimal canonical extension of the Doplicher, Fredenhagen and Roberts algebra. Our formalism is constructed in an extended space-time with independent degrees of freedom associated with the object of noncommutativity $θ^{μν}$. In this framework we consider theories that are invariant under the Poincaré group ${\cal P}$ or under its extension ${\cal P}'$, when translations in the extra dimensions are permitted. The Noether's formalism adapted to such extended $x+θ$ space-time is employed.

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Ricardo Amorim. 2008-10-17. Dynamical symmetries in noncommutative theories. https://doi.org/10.1103/physrevd.78.105003

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