Covering groups of the gauge group for the standard elementary particle model
Ilka Agricola (Humboldt-Universitaet zu Berlin)
TL;DR
This paper identifies all Lie groups compatible with the Standard Model's gauge structure, highlighting a specific group that explains quantum number correlations and reveals new group-theoretical insights into the Higgs mechanism.
Contribution
It classifies all compatible Lie groups for the Standard Model and singles out one that explains quantum correlations and uncovers new properties of the Higgs mechanism.
Findings
Identification of all compatible Lie groups for the SM
Single out a specific Lie group explaining quantum correlations
Discovery of new group-theoretical properties of the Higgs mechanism
Abstract
We determine all Lie groups compatible with the gauge structure of the Standard Elementary Particle Model (SM) and their representations. The groups are specified by congruence equations of quantum numbers. By comparison with the experimental results, we single out one Lie group and show that this choice implies certain old and new correlations between the quantum numbers of the SM quantum fields as well as some hitherto unknown group theoretical properties of the Higgs mechanism.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.