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 M4× T2/Z2, 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.
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