Simple finite non-Abelian flavor groups

DOI10.1063/1.2823978zbMath1153.81397arXiv0709.1447OpenAlexW2080927823MaRDI QIDQ3544571

Christoph Luhn, Pierre Ramond, Salah Nasri

Publication date: 8 December 2008

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0709.1447

Mathematics Subject Classification ID

Simple groups (20E32) Unified quantum theories (81V22) Symmetry breaking in quantum theory (81R40) Finite-dimensional groups and algebras motivated by physics and their representations (81R05)

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Cites Work

• Quantum affine Cartan matrices, Poincaré series of binary polyhedral groups, and reflection representations.
• \(S_4\) flavor symmetry embedded into \(\mathrm{SU}(3)\) and lepton masses and mixing
• Non-abelian finite gauge theories
• Flavor group Δ(3n2)
• Polynomial icosahedral invariants
• Finite and Disconnected Subgroups of SU3 and their Application to the Elementary-Particle Spectrum