Quantum groups and braid groups as fundamental symmetries

Abstract

The role of quantum groups and braid groups in the description of Standard Model particles is discussed. Some recent results on the use of the quantum group $S{U}_q(3)$ as a flavour symmetry are reviewed and a connection between two descriptions of Standard Model symmetries, one based on the normed division algebras and the other describing elementary matter as braided objects, is presented.

Conference proceedings paper EPS-HEP 2017, European Physical Society conference on High Energy Physics, 5-12 July 2017, Venice, Italy

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Cited by in corpus (4)

• Braids, normed division algebras, and Standard Model symmetries
• The Standard Model particle content with complete gauge symmetries from the minimal ideals of two Clifford algebras
• A topological model of composite preons from the minimal ideals of two Clifford algebras
• Knotted boundaries and braid only form of braided belts