An Algebraic Roadmap of Particle Theories, Part II: Theoretical checkpoints

Fuente: arXiv
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Autor principal: Furey, N.
Formato: Preprint
Publicado: 2023
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author Furey, N.
author_facet Furey, N.
contents An optimal algebraic model of particle physics has a number of checkpoints to pass. As a minimum, models should $\langle 1 \rangle$ conform to the Coleman-Mandula theorem (or establish a loophole), $\langle 2 \rangle$ evade familiar fermion doubling problems, $\langle 3 \rangle$ naturally explain the Standard Model's chirality, $\langle 4 \rangle$ exclude B-L gauge symmetry at low energy, and $\langle 5 \rangle$ explain the existence of three generations. We demonstrate how the model introduced in [1] passes checkpoints $\langle 1 \rangle, \langle 2 \rangle, \langle 3 \rangle, \langle 4 \rangle$, and has yet to cross $\langle 5 \rangle$. We close by elucidating an unexpected appearance of spacetime symmetries.
format Preprint
id arxiv_https___arxiv_org_abs_2312_12799
institution arXiv
publishDate 2023
record_format arxiv
spellingShingle An Algebraic Roadmap of Particle Theories, Part II: Theoretical checkpoints
Furey, N.
High Energy Physics - Phenomenology
High Energy Physics - Theory
An optimal algebraic model of particle physics has a number of checkpoints to pass. As a minimum, models should $\langle 1 \rangle$ conform to the Coleman-Mandula theorem (or establish a loophole), $\langle 2 \rangle$ evade familiar fermion doubling problems, $\langle 3 \rangle$ naturally explain the Standard Model's chirality, $\langle 4 \rangle$ exclude B-L gauge symmetry at low energy, and $\langle 5 \rangle$ explain the existence of three generations. We demonstrate how the model introduced in [1] passes checkpoints $\langle 1 \rangle, \langle 2 \rangle, \langle 3 \rangle, \langle 4 \rangle$, and has yet to cross $\langle 5 \rangle$. We close by elucidating an unexpected appearance of spacetime symmetries.
title An Algebraic Roadmap of Particle Theories, Part II: Theoretical checkpoints
topic High Energy Physics - Phenomenology
High Energy Physics - Theory
url https://arxiv.org/abs/2312.12799