Automated Ring-Diagram Framework for Classifying CP Invariants
arXiv:2311.15422 · doi:10.1103/PhysRevD.108.115030
Abstract
In this study, we introduce a transformative, automated framework for classifying basis invariants in generic field theories. Utilising a novel ring-diagram methodology accompanied by the well-known Cayley-Hamilton theorem, our approach uniquely enables the identification of basic invariants and their CP-property characterisation. Critically, our framework also unveils previously concealed attributes of established techniques reliant on the Hilbert-Poincaré series and its associated Plethystic logarithm. This paradigm shift has broad implications for the deeper understanding and more accurate classification of CP invariants in generic field theories.
arXiv comment14 pages, 4 figures and 4 tables
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