A gauged SO(3) symmetry is broken into its closed subgroups by Higgs scalars belonging to the irreducible representations characterized by j = 2, 3, 4 and 6. Explicit matrix decompositions of the irreducible representations of SO(3) in terms of the irreducible representations of the closed subgroups are made manifest. Analogous structures between the line defects of liquid crystals and the cosmic strings are notified.
ASJC Scopus subject areas
- Statistical and Nonlinear Physics
- Mathematical Physics
- Physics and Astronomy(all)