TY - JOUR
T1 - Deformations of spacetime and internal symmetries
AU - Gresnigt, Niels G.
AU - Gillard, Adam B.
N1 - Publisher Copyright:
© The Authors, published by EDP Sciences, 2017.
PY - 2017/12/5
Y1 - 2017/12/5
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=85039040002&partnerID=8YFLogxK
U2 - 10.1051/epjconf/201716407009
DO - 10.1051/epjconf/201716407009
M3 - Conference article
AN - SCOPUS:85039040002
SN - 2101-6275
VL - 164
JO - EPJ Web of Conferences
JF - EPJ Web of Conferences
M1 - 07009
T2 - 5th International Conference on New Frontiers in Physics, ICNFP 2016
Y2 - 6 July 2016 through 14 July 2016
ER -