The unification in an su ̂ 8 k U = 1 $$ \hat{su}{(8)}_{k_U=1} $$ affine Lie algebra

Abstract A flavor-unified theory based on the simple Lie algebra of su $$ \mathfrak{su} $$ (8) was previously proposed to generate the observed three-generational Standard Model quark/lepton mass hierarchies and the Cabibbo-Kobayashi-Maskawa mixing pattern due to their non-universal symmetry propert...

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Bibliographic Details
Main Authors: Ning Chen, Zhanpeng Hou, Zhaolong Teng
Format: Article
Language:English
Published: SpringerOpen 2025-04-01
Series:Journal of High Energy Physics
Subjects:
Online Access:https://doi.org/10.1007/JHEP04(2025)048
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Summary:Abstract A flavor-unified theory based on the simple Lie algebra of su $$ \mathfrak{su} $$ (8) was previously proposed to generate the observed three-generational Standard Model quark/lepton mass hierarchies and the Cabibbo-Kobayashi-Maskawa mixing pattern due to their non-universal symmetry properties. A level-1 affine Lie algebra of su ̂ 8 k U = 1 $$ \hat{su}{(8)}_{k_U=1} $$ with the N $$ \mathcal{N} $$ = 1 supersymmetric extension is found to unify three gauge couplings through the maximally symmetry breaking pattern.
ISSN:1029-8479