Hidden Symmetries in Deformed Very Special Relativity

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.