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Grand-unification Theory Atlas: Standard Model and Beyond

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abstract

Under a reasonable set of ab-initio assumptions, we define and chart the atlas of simple gauge theories with families of fermions whose masses are forbidden by gauge invariance. We propose a compass to navigate the atlas based on counting degrees of freedom. When searching for Grand-unification Theories with three matter generations, the free energy singles out the SU(5) Georgi-Glashow model as the minimal one, closely followed by SO(10) with spinorial matter. The atlas also defines the dryland of grand-unifiable gauge extensions of the standard model. We further provide examples relevant for gauge dual completions of the standard model as well as extensions by an additional SU(N) gauge symmetry.

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2025 1

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Comment to "The asymptotically-free gauge theories"

hep-th · 2025-07-18 · accept · novelty 2.0

A comment showing that the Gripaios-Nguyen classification of asymptotically-free gauge theories misses anomaly cancellation constraints and prior classifications, and overstates its novelty.

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  • Comment to "The asymptotically-free gauge theories" hep-th · 2025-07-18 · accept · none · ref 6 · internal anchor

    A comment showing that the Gripaios-Nguyen classification of asymptotically-free gauge theories misses anomaly cancellation constraints and prior classifications, and overstates its novelty.