Division algebraic symmetry breaking
APA
Furey, C. & Hughes, M. (2021). Division algebraic symmetry breaking. Perimeter Institute. https://pirsa.org/21030013
MLA
Furey, Cohl, and Mia Hughes. Division algebraic symmetry breaking. Perimeter Institute, Mar. 15, 2021, https://pirsa.org/21030013
BibTex
@misc{ pirsa_PIRSA:21030013, doi = {10.48660/21030013}, url = {https://pirsa.org/21030013}, author = {Furey, Cohl and Hughes, Mia}, keywords = {Mathematical physics, Particle Physics, Quantum Fields and Strings}, language = {en}, title = {Division algebraic symmetry breaking}, publisher = {Perimeter Institute}, year = {2021}, month = {mar}, note = {PIRSA:21030013 see, \url{https://pirsa.org}} }

Humboldt University of Berlin

Imperial College London
Collection
Talk Type
Abstract
Can the 32Cdimensional algebra R(x)C(x)H(x)O offer anything new for particle physics? Indeed it can. Here we identify a sequence of complex structures within R(x)C(x)H(x)O which sets in motion a cascade of breaking symmetries: Spin(10) > PatiSalam > LeftRight symmetric > Standard model + BL (both pre and postHiggsmechanism). These complex structures derive from the octonions, then from the quaternions, then from the complex numbers. Finally, we describe a leftright symmetric Higgs system which exhibits, we believe for the first time, an explicit demonstration of quaternionic triality.