Double SU(4) model

Abstract

In this manuscript we study the Double SU(4) model as a grand unified theory based on the gauge group \,SU(4)× SU(4)(× Z2). A complete set of generators is constructed according to a pattern of symmetry breaking via a Pati-Salam stage. Furthermore, the gauge boson matrices are derived and the extended Gell-Mann Okubo relation is calculated. All known elementary particles and antiparticles, besides exotic degrees of freedom, are unified in multiplets which are transformed as (4,4) and (4,4) under the proposed gauge group.

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