Speaker
Dr
Nichol Furey
(Humboldt-Universität zu Berlin)
Description
Can the 32C-dimensional 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 induces a cascade of breaking symmetries: Spin(10) -> Pati-Salam -> Left-Right symmetric -> Standard model + B-L (both pre- and post-Higgs-mechanism). These complex structures derive from the octonions, then from the quaternions, then from the complex numbers.
Primary authors
Dr
Nichol Furey
(Humboldt-Universität zu Berlin)
Dr
Mia Hughes
(Imperial College London)