Family Unification in Special Grand Unification

Abstract

We discuss family unification in grand unified theory (GUT) based on an $SU(19)$ GUT gauge group broken to its subgroups including a special subgroup. In the $SU(19)$ GUT on the six-dimensional (6D) orbifold space $M^4\times T^2/{\mathbb{Z}}_2$, three generations of the 4D SM Weyl fermions can be embedded into a 6D bulk Weyl fermions in an $SU(19)$ second-rank anti-symmetric tensor representation. 6D and 4D gauge anomalies can be canceled out by considering proper matter content without 4D exotic chiral fermions at low energies.

12 pages, 3 tables, no figures; one paragraph and some references added, typos corrected. arXiv admin note: substantial text overlap with arXiv:1708.02078

References in corpus (16)

• Towards A Realistic Grand Gauge-Higgs Unification
• Three generation magnetized orbifold models
• Classification of three-generation models on magnetized orbifolds
• Gauge Symmetry Breaking Patterns in an SU(5) Grand Gauge-Higgs Unification
• A Model of Comprehensive Unification
• Orbifold Family Unification
• On the chirality of the SM and the fermion content of GUTs
• Gauge-Higgs Seesaw Mechanism in Six-Dimensional Grand Unification
• The Standard Model Gauge Symmetry from Higher-Rank Unified Groups in Grand Gauge-Higgs Unification Models
• F-theory Family Unification
• Gauge-Higgs EW and Grand Unification
• Dynamical generation of fermion mass hierarchy in an extra dimension
• A simple SO(10) GUT in five dimensions
• Majorana neutrino masses in the scenario of gauge-Higgs unification
• Orbifold family unification using vectorlike representation on six dimensions
• Strong CP Problem and the Natural Hierarchy of Yukawa Couplings

Cited by in corpus (5)

• Fermion pair production at $e^{-}{e}^{+}$ linear collider experiments in GUT inspired gauge-Higgs unification
• Single Higgs Boson Production at Electron-Positron Colliders in Gauge-Higgs Unification
• Dynamical Breaking to Special or Regular Subgroups in $SO(N)$ Nambu--Jona-Lasinio Model
• Is Symmetry Breaking into Special Subgroup Special?
• Family Unification in $SO(16)$ Grand Unification