Spontaneous Symmetry Breaking in SO(3) Gauge Theory to Discrete Subgroups
G\'abor Etesi
TL;DR
This paper systematically analyzes symmetry breaking in SO(3) gauge theory, providing an algorithmic method to construct invariant Higgs potentials and explicitly demonstrating symmetry breaking to the A_4 subgroup.
Contribution
It introduces a systematic approach and an algorithm to construct invariant Higgs potentials in SO(3) gauge theories and explicitly demonstrates breaking to the A_4 subgroup.
Findings
Constructed Higgs potentials invariant under SO(3) and its subgroups.
Explicitly demonstrated symmetry breaking to A_4 subgroup.
Provided a general framework for symmetry breaking in SO(3) gauge theories.
Abstract
A systematical description of possible symmetry breakings in the SO(3) gauge theory and an algorithmical method to construct SU(2) or SO(3) invariant Higgs potentials in an arbitrary irreducible representation is given. We close our paper with the explicit construction of the Lagrangian of the simplest SO(3) theory violated to its subgroup A_4.
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.