The unification in an $\widehat {\mathfrak{s}\mathfrak{u}}(8)_{ k_U = 1}$ affine Lie algebra

Fuente: arXiv
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Auteurs principaux: Chen, Ning, Hou, Zhanpeng, Teng, Zhaolong
Format: Preprint
Publié: 2024
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author Chen, Ning
Hou, Zhanpeng
Teng, Zhaolong
author_facet Chen, Ning
Hou, Zhanpeng
Teng, Zhaolong
contents A flavor-unified theory based on the simple Lie algebra of ${\mathfrak{s}\mathfrak{u}}(8)$ was previously proposed to generate the observed 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 $\widehat{ \mathfrak{s}\mathfrak{u} }(8)_{ k_U =1}$ with the ${\cal N}=1$ supersymmetric extension is found to unify three gauge couplings through the maximally symmetry breaking pattern.
format Preprint
id arxiv_https___arxiv_org_abs_2411_12979
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle The unification in an $\widehat {\mathfrak{s}\mathfrak{u}}(8)_{ k_U = 1}$ affine Lie algebra
Chen, Ning
Hou, Zhanpeng
Teng, Zhaolong
High Energy Physics - Phenomenology
High Energy Physics - Theory
A flavor-unified theory based on the simple Lie algebra of ${\mathfrak{s}\mathfrak{u}}(8)$ was previously proposed to generate the observed 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 $\widehat{ \mathfrak{s}\mathfrak{u} }(8)_{ k_U =1}$ with the ${\cal N}=1$ supersymmetric extension is found to unify three gauge couplings through the maximally symmetry breaking pattern.
title The unification in an $\widehat {\mathfrak{s}\mathfrak{u}}(8)_{ k_U = 1}$ affine Lie algebra
topic High Energy Physics - Phenomenology
High Energy Physics - Theory
url https://arxiv.org/abs/2411.12979