All anomaly-free U(1) theories  Abstract: In order to be well-behaved at high energies, gauge theories must be free of gauge anomalies. Furthermore, if the fermions are chiral the cancellation of anomalies requires careful assignment of the fermion charges under the gauge group.  For a U(1) theory the (integer) charges of the fermions must satisfy a cubic equation.  Generating consistent chiral theories is … Read More