4 papers
hep-ph2025
A Superalgebra Within: representations of lightest standard model particles form a -graded algebra
N. Furey
It is demonstrated how a set of particle representations, familiar from the Standard Model, collectively form a superalgebra. Those representations mirroring the internal behaviour…
hep-ph2023
An Algebraic Roadmap of Particle Theories, Part III: Intersections
N. Furey
In this article, we bypass the detailed symmetry breaking pathways established in [1]. Instead, a direct route from the Spin(10) model to the Standard Model is enabled via a single…
hep-ph2023
An Algebraic Roadmap of Particle Theories, Part II: Theoretical checkpoints
N. Furey
An optimal algebraic model of particle physics has a number of checkpoints to pass. As a minimum, models should conform to the Coleman-Mandula theorem (or estab…
hep-ph2023
An Algebraic Roadmap of Particle Theories, Part I: General construction
N. Furey
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…