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Discrete symmetries as automorphisms of the proper Poincare group

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arxiv hep-th/0010035 v1 pith:WRDBNWE6 submitted 2000-10-05 hep-th math-phmath.MP

I.L. Buchbinder , D.M. Gitman , A.L. Shelepin This is my paper · ORCID
classification hep-thmath-phmath.MP
keywords discretegrouptransformationspoincarproperautomorphismsfieldsapproach
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We present the consistent approach to finding the discrete transformations in the representation spaces of the proper Poincar\'e group. To this end we use the possibility to establish a correspondence between involutory automorphisms of the proper Poincar\'e group and the discrete transformations. As a result, we derive rules of the discrete transformations for arbitrary spin-tensor fields without the use of relativistic wave equations. Besides, we construct explicitly fields carrying representations of the extended Poincar\'e group, which includes the discrete transformations as well.

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  1. Flavor and CP Symmetries in the Standard Model Effective Field Theory

    hep-ph 2025-02 conditional novelty 6.0 of 10

    A CP classification of dimension-six and dimension-eight SMEFT operators is combined with minimal flavor violation to reduce independent CP-violating Wilson coefficient phases to 26 and 655 respectively.

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