Nichol Furey and Mia Hughes - Division algebraic symmetry breaking скачать в хорошем качестве

Nichol Furey and Mia Hughes - Division algebraic symmetry breaking

Talk given on the 5th of May, 2021 for the University of Edinburgh's department of mathematics seminar series. Abstract: 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 sets in motion a cascade of breaking symmetries: Spin(10) to Pati-Salam to Left-Right symmetric to 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. Finally, we describe a left-right symmetric Higgs system which exhibits, we believe for the first time, an explicit demonstration of quaternionic triality. Based on papers N. Furey, M.J. Hughes, One generation of standard model Weyl representations as a single copy of RCHO, Phys. Lett. B, 827 (2022) N. Furey, M.J. Hughes, Division algebraic symmetry breaking, Phys. Lett. B (2022)