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Deformations of spacetime and internal symmetries

Year: 2017
Type: conference-paper
Abstract: Algebraic deformations provide a systematic approach to generalizing the symmetries of a physical theory through the introduction of new fundamental constants. The applications of deformations of Lie algebras and Hopf algebras to both spacetime and internal symmetries are discussed. As a specific example we demonstrate how deforming the classical flavor group S U(3) to the quantum group S Uq(3) ≡ U q (su(3)) (a Hopf algebra) and taking into account electromagnetic mass splitting within isospin multiplets leads to new and exceptionally accurate baryon mass sum rules that agree perfectly with experimental data.
Authors: Niels G. Gresnigt, Adam B. Gillard
Language: English
Open Access status: diamond
OpenAlex ID: W2774108947
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Cites: 29
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