The non-maximal symmetry breaking patterns in the supersymmetric \widehat \mathfraks \mathfraku(8)_{kU =1} theory

2025/08/15 by Chen, Ning, Tian, Jianan, Wang, Bin
#FOS: Physical sciences #High Energy Physics - Phenomenology (hep-ph)

paper · doi:10.48550/arxiv.2508.11160

Abstract

We study the non-maximal symmetry breaking patterns of \mathfraks \mathfraku(8) → \mathfrakg₅₃₁/\mathfrakg₃₅₁ allowed in a supersymmetric theory with the affine Lie algebra of \widehat \mathfraks \mathfraku(8)_kU=1, which was recently proposed to explain the three-generational standard model quark/lepton mass hierarchies as well as the Cabbibo-Kobayashi-Maskawa mixing pattern. Three gauge couplings are found to achieve the unification below the Planck scales, according to the unification relations determined by the affine Lie algebra at level of 1. We also prove that a separate non-maximal symmetry breaking pattern of \mathfraks \mathfraku(8) → \mathfrakg₆₂₁ is unrealistic due to the additional massless vectorlike quarks in the spectrum.

Citations

• Further study of the maximally symmetry breaking patterns in an \rm SU(8) theory
• Group theory of the spontaneously broken gauge symmetries
• Unity of All Elementary-Particle Forces
• CP-Violation in the Renormalizable Theory of Weak Interaction

Related

• Further study of the maximally symmetry breaking patterns in an \rm SU(8) theory
• Horizontal U(1)_H symmetry: a non-anomalous model
• The gauge coupling unification in Grand Unified Theories based on the group E₈
• The gauge coupling unification in the flipped E₈ GUT
• Standard Model Symmetries and K(E₁0)