Hidden Symmetries in Deformed Very Special Relativity

2021/02/28 by N. Dimakis · 1 citation
Physics and Astronomy · #hep-th

paper · pdf · doi:10.1103/physrevd.103.l071701

published as Phys. Rev. D 103, 071701 (2021) · 6 pages, no figures, Latex2e source file, minor changes to match published version

arxiv created 2021/04/10 · arxiv updated 2021/04/14

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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• From Lorentz to SIM(2): contraction, four-dimensional algebraic relations and projective representations