Complex hidden symmetries in real spacetime and their algebraic structures

2025/01/22 by R. Vilela Mendes, Mendes, R. Vilela · 2 citations
Physics and Astronomy · #Advanced Mathematical Theories and Applications #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Mathematical Physics (math-ph)

paper · pdf · doi:10.48550/arxiv.2501.12960

openalex publication_date 2025/01/22 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Considering real spacetime as a Lorentzian fiber in a complex manifold, there is a mismatch of the elementary linear representations of their symmetry groups, the real and complex Poincaré groups. No spinors are allowed as linear irreducible representations for the complex case, but when a spin^h structure is implemented on the associated principal bundles, one is naturally led to an algebraic structure similar to the one of the standard model. This last (dynamical) structure might therefore be inherited from the kinematical symmetries of a larger space.

Cited by

• Spinors and the quaternionic Poincaré group
• Zero mass as a Borel structure

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