Hidden Symmetries in Deformed Very Special Relativity
Abstract
We study particle dynamics in a space-time invariant under the DISIMb(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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