Charge Quantization in the $\mathbb{CP}(1)$ Nonlinear Sigma-Model
Abstract
We investigate the consistency conditions for matter fields coupled to the four-dimensional ( supersymmetric) nonlinear sigma model (the coset space ). We find that consistency requires that the charge of the matter be quantized, in units of half of the charge of the Nambu-Goldstone (NG) boson, if the matter has a nonsingular kinetic term and the dynamics respect the full group . We can then take the linearly realized group to comprise the weak hypercharge group 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.
Cite
@article{arxiv.1309.0692,
title = {Charge Quantization in the $\mathbb{CP}(1)$ Nonlinear Sigma-Model},
author = {Simeon Hellerman and John Kehayias and Tsutomu T. Yanagida},
journal= {arXiv preprint arXiv:1309.0692},
year = {2013}
}
Comments
6 pages; v2 minor updates (anti-holomorphic details, typos), matches published version