research

Deformations of spacetime and internal symmetries

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)SU(3) to the quantum group SUq(3)≑Uq(su(3))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.Comment: 5th International Conference on New Frontiers in Physics, Crete, Greece, July 6-14, 201

    Similar works