Spontaneous breaking of \(\mathrm{SU}(3)\) to finite family symmetries -- a pedestrian's approach

DOI10.1007/JHEP03(2011)108zbMath1301.81352arXiv1101.2417MaRDI QIDQ475902

Christoph Luhn

Publication date: 27 November 2014

Published in: Journal of High Energy Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1101.2417

zbMATH Keywords

spontaneous symmetry breakingdiscrete and finite symmetriesbeyond standard model

Mathematics Subject Classification ID

Unified quantum theories (81V22) Perturbative methods of renormalization applied to problems in quantum field theory (81T15) Symmetry breaking in quantum theory (81R40) Finite-dimensional groups and algebras motivated by physics and their representations (81R05)

Related Items (12)

Spontaneous breaking of SO(3) to finite family symmetries with supersymmetry -- an \(A_4\) model ⋮ Towards exotic matter and discrete non-abelian symmetries in F-theory ⋮ Common origin of \(\theta_{13}\) and dark matter within the flavor symmetric scoto-seesaw framework ⋮ Spontaneous breaking of gauge groups to discrete symmetries ⋮ Accidentally light scalars from large representations ⋮ Breaking classical Lie groups to finite subgroups - an automated approach ⋮ \(A_{4}\) flavor models in split seesaw mechanism ⋮ Gauge extension of non-abelian discrete flavor symmetry ⋮ Origin of family symmetries ⋮ Tri-bimaximal neutrino mixing and discrete flavour symmetries ⋮ Explicit and spontaneous breaking of \(\operatorname{SU}(3)\) into its finite subgroups ⋮ Simultaneous block diagonalization of matrices of finite order

Cites Work

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• Flavor group Δ(3n2)
• Simple finite non-Abelian flavor groups
• Non-Abelian Discrete Symmetries in Particle Physics
• Finite subgroups of SU(3)
• Breaking SO(3) into its closed subgroups by Higgs mechanism
• EXPLICIT BREAKING OF SO(3) WITH HIGGS FIELDS IN THE REPRESENTATIONS ℓ = 2 AND ℓ = 3
• Spontaneous symmetry breaking in the SO(3) gauge theory to discrete subgroups
• Finite and Disconnected Subgroups of SU3 and their Application to the Elementary-Particle Spectrum

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