Breaking SO(3) into its closed subgroups by Higgs mechanism

Mehmet Koca, Ramazan Koc, Muataz Al Barwani

Research output: Contribution to journalArticle

Abstract

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.

Original languageEnglish (US)
Pages (from-to)2109-2125
Number of pages17
JournalJournal of Physics A: Mathematical and General
Volume30
Issue number6
DOIs
StatePublished - Mar 21 1997
Externally publishedYes

Fingerprint

subgroups
Higgs
Irreducible Representation
Liquid crystals
Subgroup
Decomposition
Closed
Defects
Cosmic Strings
Matrix Decomposition
Liquid Crystal
broken symmetry
strings
liquid crystals
Scalar
scalars
decomposition
Symmetry
Line
defects

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematical Physics
  • Physics and Astronomy(all)

Cite this

Breaking SO(3) into its closed subgroups by Higgs mechanism. / Koca, Mehmet; Koc, Ramazan; Al Barwani, Muataz.

In: Journal of Physics A: Mathematical and General, Vol. 30, No. 6, 21.03.1997, p. 2109-2125.

Research output: Contribution to journalArticle

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