| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 1849354 | Physics Letters B | 2014 | 5 Pages |
We investigate the consistency conditions for matter fields coupled to the four-dimensional (N=1N=1 supersymmetric) CP(1)CP(1) nonlinear sigma model (the coset space SU(2)G/U(1)HSU(2)G/U(1)H). We find that consistency requires that the U(1)HU(1)H charge of the matter be quantized, in units of half of the U(1)HU(1)H charge of the Nambu–Goldstone (NG) boson, if the matter has a nonsingular kinetic term and the dynamics respect the full group SU(2)GSU(2)G. We can then take the linearly realized group U(1)HU(1)H to comprise the weak hypercharge group U(1)YU(1)Y of the Standard Model. Thus we have charge quantization without a Grand Unified Theory (GUT), completely avoiding problems like proton decay, doublet–triplet splitting, and magnetic monopoles. We briefly investigate the phenomenological implications of this model-building framework. The NG boson is fractionally charged and completely stable. It can be naturally light, avoiding constraints while being a component of dark matter or having applications in nuclear physics. We also comment on the extension to other NLSMs on coset spaces, which will be explored more fully in a followup paper.
