Deformations of spacetime and internal symmetries

Niels G. Gresnigt*, Adam B. Gillard

*Corresponding author for this work

Research output: Contribution to journalConference articlepeer-review


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.

Original languageEnglish
Article number07009
JournalEPJ Web of Conferences
Publication statusPublished - 5 Dec 2017
Event5th International Conference on New Frontiers in Physics, ICNFP 2016 - Kolymbari, Crete, Greece
Duration: 6 Jul 201614 Jul 2016

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