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Topological preons from algebraic spinors

Authors
  • Gresnigt, Niels G.1
  • 1 Xi’an Jiaotong-Liverpool University, 111 Ren’ai Rd., Dushu Lake Science and Education Innovation District, Suzhou Industrial Park, Suzhou, 215123, People’s Republic of China , Suzhou (China)
Type
Published Article
Journal
The European Physical Journal C
Publisher
Springer-Verlag
Publication Date
Jun 07, 2021
Volume
81
Issue
6
Identifiers
DOI: 10.1140/epjc/s10052-021-09288-1
Source
Springer Nature
License
Green

Abstract

It is demonstrated that many of the assumed rules that govern the structure of a previously proposed topological preon model, in which simple non-trivial braids consisting of three twisted ribbons are mapped to the first generation of leptons and quarks, are automatically adhered to when the algebraic spinors of two complex Clifford algebras are identified with braids via a suitable map. Much of the assumed topological architecture of this model can therefore be interpreted as a direct consequence of the deeper algebraic structures upon which the minimal ideals of these Clifford algebras are constructed. This result deepens the understanding of how these two complementary descriptions, one topological and one algebraic, of Standard Model symmetries are intimately connected despite originating from very different perspectives.

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