Jul 5 – 10, 2021
Europe/Rome timezone

Division algebraic symmetry breaking

Jul 5, 2021, 5:50 PM
20m
Invited talk in the parallel session Mathematical Problems of Relativistic Physics: Classical and Quantum Mathematical Problems of Relativistic Physics: Classical and Quantum

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)

Presentation materials

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