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  • Letter
  • Open Access

Hidden symmetries in deformed very special relativity

N. Dimakis*

  • Center for Theoretical Physics, College of Physics, Sichuan University, Chengdu 610064, China

  • *nsdimakis@scu.edu.cn, nsdimakis@gmail.com
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Phys. Rev. D 103, L071701 – Published 9 April, 2021

DOI: https://doi.org/10.1103/PhysRevD.103.L071701

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 noncommutative relations in phase space.

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Phys. Rev. D 103, L071701– Published 9 April, 2021
  • Received 10 February 2021
  • Accepted 15 March 2021
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Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article’s title, journal citation, and DOI. Funded by SCOAP3.

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