PIRSA:13120056

No GUTs, All Glory: Charge Quantization and the Standard Model from Nonlinear Sigma Models

Kehayias, J. (2013). No GUTs, All Glory: Charge Quantization and the Standard Model from Nonlinear Sigma Models. Perimeter Institute. https://pirsa.org/13120056

Kehayias, John. No GUTs, All Glory: Charge Quantization and the Standard Model from Nonlinear Sigma Models. Perimeter Institute, Dec. 06, 2013, https://pirsa.org/13120056 

          @misc{ pirsa_PIRSA:13120056,
            doi = {10.48660/13120056},
            url = {https://pirsa.org/13120056},
            author = {Kehayias, John},
            keywords = {Particle Physics},
            language = {en},
            title = {No GUTs, All Glory: Charge Quantization and the Standard Model from Nonlinear Sigma Models},
            publisher = {Perimeter Institute},
            year = {2013},
            month = {dec},
            note = {PIRSA:13120056 see, \url{https://pirsa.org}}
          }

John Kehayias University of Tokyo

DOI 10.48660/13120056
Collection
Talk Type Scientific Series
Subject

Abstract

I will present recent and ongoing work in collaboration with Tsutomu Yanagida and Simeon Hellerman (arXiv:1309.0692 and 1312.xxxx) on a new way to obtain charge quantization, without a GUT or monopole solution. In the CP^1 model, SU(2)_G/U(1)_H, consistency conditions for a charged field and its transformation properties over the entire group manifold lead to a charge quantization condition. By gauging the U(1)_H and identifying it with hypercharge, we find charge quantization in the SM without a monopole or GUT, purely from the structure and dynamics of the nonlinear sigma model. This is easily extended to CP^2 and general CP^k models. Phenomenologically, the CP^1 model has a fractionally charged stable Nambu-Goldstone boson (NGB), which has intriguing applications to nuclear physics and dark matter. The CP^2 model has the Higgs as the NGB. With some additional minor assumptions, anomaly freedom then leads to the matter content of a generation in the SM.