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The Family Group in Grand Unified Theories

4 Pith papers cite this work. Polarity classification is still indexing.

4 Pith papers citing it
abstract

We review the known ways of incorporating and breaking symmetries in a renormalizable way. We summarize the various grand unified theories based on $SU_5, SO_{10}$, and $E_6$ as family enlargement groups. An $SU_5$ model with an $SU_2$ gauged family group is presented as an illustration. In it, the e-family (i.e., e,u and d) is classically massless and acquires calculable mass corrections. The family group is broken by the same agent that does the superstrong breaking. Finally, we sketch a way of unifying the family group with $SU_5$ into $SU_8$.

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hep-ph 4

years

2026 3 2025 1

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UNVERDICTED 4

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method 1

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representative citing papers

Family Unification in $SO(16)$ Grand Unification

hep-ph · 2025-02-10 · unverdicted · novelty 4.0

A 6D SO(16) GUT model unifies SM gauge groups with SU(3) family symmetry by placing three chiral generations into one spinor representation, canceling anomalies via vectorlike 6D fermions and fixed-point localized states while noting asymptotic freedom of the SO(16) coupling.

$SO(10)$-inspired leptogenesis

hep-ph · 2026-04-21 · unverdicted · novelty 3.0

SO(10)-inspired leptogenesis implies N2-leptogenesis, ruling out inverted neutrino ordering under strict conditions and enabling initial-condition-independent asymmetry in subsets of solutions.

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