Reply to "Comment on anomaly cancellation in the standard model"

Abstract
We explain more fully why the "bizarre" hypercharge assignment to the 15 fermion states of the standard group, given by Minahan, Ramond, and Warner, was rejected in our original paper. The nontrivial use of the mixed gauge-gravitational anomaly-free condition to pin down the "quantized" ratios of the standard hypercharges of quarks and leptons—a short step to electric charge quantization—is reemphasized. We also comment on the additional hypercharge constraints of Higgs particles and the role of anomalies for the enlarged left-right-symmetric group. DOI: http://dx.doi.org/10.1103/PhysRevD.41.717 © 1990 The American Physical Society