Inspired by the standard model of particle physics, we discuss a mechanism for constructing chiral, anomaly-free gauge theories. The gauge symmetries and particle content of such theories are identified using subgroups and complex representations of simple anomaly-free Lie groups, such as SO(10) or E6. We explore, using mostly SO(10) and the 16 representation, several of these "imperfect copies" of the standard model, including U(1)N theories, SU(5) - U(1) theories, SU(4) - U(1)2 theories with 4-plets and 6-plets, and chiral SU(3) - SU(2) - U(1). A few general properties of such theories are discussed, as is how they might shed light on nonzero neutrino masses, the dark matter puzzle, and other phenomenologically relevant questions.
ASJC Scopus subject areas
- Physics and Astronomy (miscellaneous)