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arXiv · 2312.12377

An Algebraic Roadmap of Particle Theories, Part I: General construction

N. Furey
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Abstract

Expanding the results of [1], [2], [3], we demonstrate a network of algebraic connections between six well-known particle theories. These are the Spin(10) model, the Georgi-Glashow model, the Pati-Salam model, the Left-Right Symmetric model, the Standard Model both pre- and post-Higgs mechanism. A new inclusion of a quaternionic reflection within the network further differentiates $W^{\pm}$ bosons from the $Z^0$ boson in comparison to the Standard Model. It may introduce subtle new considerations for the phenomenology of electroweak symmetry breaking.

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N. Furey. 2023-12-19. An Algebraic Roadmap of Particle Theories, Part I: General construction. https://doi.org/10.1002/andp.202400322

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