The deformation of Poincar subgroups concerning very special relativity |
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作者姓名: | ZHANG Lei XUE Xun |
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作者单位: | Institute of Theoretical Physics,Department of Physics,East China Normal University;Kavli Institute for Theoretical Physics China at the Chinese Academy of Sciences |
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摘 要: | We investigate here various kinds of semi-product subgroups of Poincar group in the scheme of Cohen-Glashow’s very special relativity along the deformation approach by Gibbons-Gomis-Pope.For each proper Poincar 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 Poincar′e 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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关 键 词: | very special relativity deformation of Poincare subgroups natural representation accompanied scale transformation |
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