A hidden symmetry of complex spacetime and the emergence of the standard model algebraic structure

Fuente: arXiv
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Autore principale: Mendes, R. Vilela
Natura: Preprint
Pubblicazione: 2024
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author Mendes, R. Vilela
author_facet Mendes, R. Vilela
contents When spacetime is considered as a subspace of a wider complex spacetime manifold, there is a mismatch of the elementary linear representations of their symmetry groups, the real and complex Poincaré groups. In particular, no spinors are allowed for the complex case. When a spin$^{h}$ structure is implemented on principal bundles in complex spacetime, one is naturally led to an algebraic structure analogous to the one of the standard model.
format Preprint
id arxiv_https___arxiv_org_abs_2408_08839
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle A hidden symmetry of complex spacetime and the emergence of the standard model algebraic structure
Mendes, R. Vilela
High Energy Physics - Theory
Mathematical Physics
When spacetime is considered as a subspace of a wider complex spacetime manifold, there is a mismatch of the elementary linear representations of their symmetry groups, the real and complex Poincaré groups. In particular, no spinors are allowed for the complex case. When a spin$^{h}$ structure is implemented on principal bundles in complex spacetime, one is naturally led to an algebraic structure analogous to the one of the standard model.
title A hidden symmetry of complex spacetime and the emergence of the standard model algebraic structure
topic High Energy Physics - Theory
Mathematical Physics
url https://arxiv.org/abs/2408.08839