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arXiv · 1712.02645

Deformations of spacetime and internal symmetries

Niels G. Gresnigt·Adam B. Gillard
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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 $SU(3)$ to the quantum group $SU_q(3)\equiv U_q(su(3))$ (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.

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Niels G. Gresnigt, Adam B. Gillard. 2017-12-06. Deformations of spacetime and internal symmetries. https://doi.org/10.1051/epjconf/201716407009

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