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The deformation of Poincaré subgroups concerning very special relativity

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Abstract

We investigate here various kinds of semi-product subgroups of Poincaré group in the scheme of Cohen-Glashow’s very special relativity along the deformation approach by Gibbons-Gomis-Pope. For each proper Poincaré subgroup which is a semi-product of proper lorentz group with the spacetime translation group T(4), we investigate all possible deformations and obtain all the possible natural representations inherited from the 5 − d representation of Poincaré group. We find from the obtained natural representation that rotation operation may have additional accompanied scale transformation when the original Lorentz subgroup is deformed and the boost operation gets the additional accompanied scale transformation in all the deformation cases. The additional accompanied scale transformation has a strong constrain on the possible invariant metric function of the corresponding geometry and the field theories in the spacetime with the corresponding geometry.

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Authors and Affiliations

  1. Institute of Theoretical Physics, Department of Physics, East China Normal University, Shanghai, 200241, China

    Lei Zhang & Xun Xue

  2. Kavli Institute for Theoretical Physics China at the Chinese Academy of Sciences, Beijing, 100190, China

    Lei Zhang & Xun Xue

Authors
  1. Lei Zhang
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  2. Xun Xue
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Correspondence to Xun Xue.

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Zhang, L., Xue, X. The deformation of Poincaré subgroups concerning very special relativity. Sci. China Phys. Mech. Astron. 57, 859–874 (2014). https://doi.org/10.1007/s11433-013-5307-y

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  • DOI: https://doi.org/10.1007/s11433-013-5307-y

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