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arXiv · 2102.08563

Hidden Symmetries in Deformed Very Special Relativity

N. Dimakis
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Abstract

We study particle dynamics in a space-time invariant under the $DISIM_b(2)$ group - the deformation of the $ISIM(2)$ symmetry group of very special relativity. We find that the Lorentz violation leads to the creation of higher order (hidden) symmetries which are connected to those broken at the space-time level. Through the perspective of the conserved quantities of the special relativistic case the Lorentz violation is linked to specific non-commutative relations in phase-space.

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N. Dimakis. 2021-02-17. Hidden Symmetries in Deformed Very Special Relativity. https://doi.org/10.1103/physrevd.103.l071701

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