Hidden symmetries in deformed very special relativity

摘要

We study particle dynamics in a space-time invariant under the D I S I M b ( 2 ) group—the deformation of the I S I M ( 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 noncommutative relations in phase space.